897
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1344
- Proper Divisor Sum (Aliquot Sum)
- 447
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 528
- Möbius Function
- -1
- Radical
- 897
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 67
- Smith Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- achthundertsiebenundneunzig· ordinal: achthundertsiebenundneunzigste
- English
- eight hundred ninety-seven· ordinal: eight hundred ninety-seventh
- Spanish
- ochocientos noventa y siete· ordinal: 897º
- French
- huit cent quatre-vingt-dix-sept· ordinal: huit cent quatre-vingt-dix-septième
- Italian
- ottocentonovantasette· ordinal: 897º
- Latin
- octingenti nonaginta septem· ordinal: 897.
- Portuguese
- oitocentos e noventa e sete· ordinal: 897º
Appears in sequences
- Numbers n such that the sum of the squares of n consecutive positive odd numbers x^2 + (x+2)^2 + ... + (x+2n-2)^2 = k^2 for some integer k. The least values of x and k for each n are in A056131 and A056132, respectively.at n=53A001033
- Cullen numbers: a(n) = n*2^n + 1.at n=7A002064
- Odd squarefree numbers with an odd number of prime factors that have no prime factors greater than 31.at n=37A002556
- Number of integral points in a certain sequence of closed quadrilaterals.at n=44A002579
- Numbers k such that 2*3^k + 1 is prime.at n=20A003306
- Numbers which are the sum of 3 nonzero 4th powers.at n=27A003337
- Numbers that are the sum of 8 positive 7th powers.at n=7A003375
- Number of solid partitions of n supported on graph of cube.at n=14A003404
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation and reflection.at n=24A003453
- Sums of distinct nonzero 4th powers.at n=25A003999
- a(n) = floor((n^2 + 6n - 3)/4).at n=56A004116
- Numbers that are the sum of at most 8 positive 7th powers.at n=43A004870
- Numbers that are the sum of at most 9 positive 7th powers.at n=50A004871
- Expansion of (1-x+x^2)/((1-x)^2*(1-x^2)*(1-x^4)).at n=32A005232
- Number of primitive n-node animals on b.c.c. lattice.at n=4A007196
- Minimum diameter of an integral set of n points in the plane, not all on a line.at n=39A007285
- Number of 5th-order maximal independent sets in path graph.at n=38A007380
- Number of planted trees: all sub-rooted trees from any node are identical; non-root, non-leaf nodes an even distance from the root are of degree 2.at n=55A007439
- Reve's puzzle: number of moves needed to solve the Towers of Hanoi puzzle with 4 pegs and n disks, according to the Frame-Stewart algorithm.at n=29A007664
- Multiples of 23.at n=39A008605