867
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 1228
- Proper Divisor Sum (Aliquot Sum)
- 361
- 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
- 544
- Möbius Function
- 0
- Radical
- 51
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 28
- Smith Number
- no
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
- achthundertsiebenundsechzig· ordinal: achthundertsiebenundsechzigste
- English
- eight hundred sixty-seven· ordinal: eight hundred sixty-seventh
- Spanish
- ochocientos sesenta y siete· ordinal: 867º
- French
- huit cent soixante-sept· ordinal: huit cent soixante-septième
- Italian
- ottocentosessantasette· ordinal: 867º
- Latin
- octingenti sexaginta septem· ordinal: 867.
- Portuguese
- oitocentos e sessenta e sete· ordinal: 867º
Appears in sequences
- a(n) = floor(n^2/3).at n=51A000212
- Construct a triangle as in A036262. Sequence is one less than the position of the first number larger than 2 in the n-th row (n-th difference).at n=32A000232
- Number of integral points in a certain sequence of open quadrilaterals.at n=46A002578
- Number of maximal collections of pairwise disjoint subsets {X,Y,Z} of {1, 2, ..., n} with X + Y = Z (as in A002849), with the property that n is in one of the subsets.at n=17A002848
- a(n) = floor((n^2 + 6n - 3)/4).at n=55A004116
- Divisible only by primes congruent to 3 mod 7.at n=52A004621
- Number of symmetry sites in all planted 1,3-trees with 2n nodes.at n=10A007135
- Coordination sequence T3 for Zeolite Code STI.at n=20A008236
- Multiples of 17.at n=51A008599
- a(n) = ceiling(n^2/3).at n=51A008810
- a(n) = floor( n*(n-1)*(n-2)/14 ).at n=24A011896
- a(n) = n^2 + 3*n - 1.at n=28A014209
- Expansion of (1+2*x+3*x^2)/((1-x)*(1-x^2)^2).at n=33A014255
- Numbers k that divide s(k), where s(1)=1, s(j)=18*s(j-1)+j.at n=29A014868
- Odd numbers k such that d(k) does not divide phi(k).at n=25A015734
- Divisors of 867.at n=5A018691
- Number of terms in n-th derivative of a function composed with itself 4 times.at n=9A022812
- Square array read by antidiagonals: A(n,k) = number of terms in the n-th derivative of a function composed with itself k times (n, k >= 1).at n=74A022818
- Metadromes: digits in base 7 are in strict ascending order.at n=53A023776
- n written in fractional base 9/4.at n=61A024652