966
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
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2304
- Proper Divisor Sum (Aliquot Sum)
- 1338
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 264
- Möbius Function
- 1
- Radical
- 966
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 23
- 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
- yes
- Odd
- no
Names
- German
- neunhundertsechsundsechzig· ordinal: neunhundertsechsundsechzigste
- English
- nine hundred sixty-six· ordinal: nine hundred sixty-sixth
- Spanish
- novecientos sesenta y seis· ordinal: 966º
- French
- neuf cent soixante-six· ordinal: neuf cent soixante-sixième
- Italian
- novecentosessantasei· ordinal: 966º
- Latin
- nongenti sexaginta sex· ordinal: 966.
- Portuguese
- novecentos e sessenta e seis· ordinal: 966º
Appears in sequences
- Nearest integer to modified Bessel function K_n(5).at n=13A000249
- Stirling numbers of second kind S(n,3).at n=8A000392
- Numbers in which every digit contains at least one loop (version 1).at n=53A001743
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=18A001976
- Central factorial numbers: 2nd subdiagonal of A008958.at n=2A002453
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=3A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=3A004967
- Number of 2 X 2 matrices with entries mod n and nonzero determinant.at n=5A005353
- Least k such that binomial(k,n) has n or more distinct prime factors.at n=31A005733
- Number of rooted genus-2 maps with n edges.at n=5A006301
- Numbers whose sum of divisors is a square.at n=43A006532
- Place n equally-spaced points around a circle and join every pair of points by a chord; this divides the circle into a(n) regions.at n=13A006533
- Number of subwords of length n in infinite word generated by a -> aab, b -> b.at n=47A006697
- Denominator of (2n+1) B_{2n}, where B_n are the Bernoulli numbers.at n=33A006955
- Add 5, then reverse digits!.at n=33A007397
- Moebius transform of Fibonacci numbers.at n=15A007436
- Coordination sequence T4 for Zeolite Code BOG.at n=22A008052
- Coordination sequence T9 for Zeolite Code EUO.at n=19A008104
- Coordination sequence T2 for Zeolite Code LEV.at n=23A008128
- Coordination sequence T6 for Zeolite Code NES.at n=20A008210