825
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 1488
- Proper Divisor Sum (Aliquot Sum)
- 663
- 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
- 400
- Möbius Function
- 0
- Radical
- 165
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 134
- Smith Number
- yes
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- achthundertfünfundzwanzig· ordinal: achthundertfünfundzwanzigste
- English
- eight hundred twenty-five· ordinal: eight hundred twenty-fifth
- Spanish
- ochocientos veinticinco· ordinal: 825º
- French
- huit cent vingt-cinq· ordinal: huit cent vingt-cinqième
- Italian
- ottocentoventicinque· ordinal: 825º
- Latin
- octingenti viginti quinque· ordinal: 825.
- Portuguese
- oitocentos e vinte e cinco· ordinal: 825º
Appears in sequences
- Triangle of numbers related to triangle A049213; generalization of Stirling numbers of second kind A008277, Bessel triangle A001497.at n=18A000369
- Numbers beginning with letter 'e' in English.at n=38A000873
- Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle.at n=57A001263
- Triangle of Narayana numbers T(n,k) = C(n-1,k-1)*C(n,k-1)/k with 1 <= k <= n, read by rows. Also called the Catalan triangle.at n=63A001263
- Number of diagonal dissections of a convex n-gon into n-5 regions.at n=3A002056
- a(0) = 1, a(1) = 0, a(2) = -1; for n >= 3, a(n) = - a(n-2) + Sum_{ primes p with 3 <= p <= n} a(n-p).at n=42A002121
- 4-dimensional pyramidal numbers: a(n) = n^2*(n^2-1)/12.at n=10A002415
- Expansion of 1/((1-x)^4*(1+x)).at n=19A002623
- Numbers that are the sum of 6 positive 5th powers.at n=21A003351
- Number of nonequivalent dissections of an n-gon into n-4 polygons by nonintersecting diagonals rooted at a cell up to rotation.at n=4A003443
- Divisors of 2^20 - 1.at n=22A003529
- Divisors of 2^40 - 1.at n=31A003546
- Degrees of irreducible representations of alternating group A_11.at n=21A003866
- Degrees of irreducible representations of symmetric group S_11.at n=36A003875
- Degrees of irreducible representations of symmetric group S_11.at n=35A003875
- Degrees of irreducible representations of Higman-Sims group HS.at n=12A003908
- Triangular numbers written backwards.at n=32A004158
- Positions of remoteness 4 in Beans-Don't-Talk.at n=16A005696
- Smith (or joke) numbers: composite numbers k such that sum of digits of k = sum of digits of prime factors of k (counted with multiplicity).at n=40A006753
- Reversion of g.f. (with constant term omitted) for partition numbers.at n=6A007312