967
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 968
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 966
- Möbius Function
- -1
- Radical
- 967
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 142
- Smith Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 163
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Names
- German
- neunhundertsiebenundsechzig· ordinal: neunhundertsiebenundsechzigste
- English
- nine hundred sixty-seven· ordinal: nine hundred sixty-seventh
- Spanish
- novecientos sesenta y siete· ordinal: 967º
- French
- neuf cent soixante-sept· ordinal: neuf cent soixante-septième
- Italian
- novecentosessantasette· ordinal: 967º
- Latin
- nongenti sexaginta septem· ordinal: 967.
- Portuguese
- novecentos e sessenta e sete· ordinal: 967º
Appears in sequences
- Primes p of the form 3k+1 such that Sum_{x=1..p} cos(2*Pi*x^3/p) > sqrt(p).at n=40A000921
- Primes with 5 as smallest primitive root.at n=24A001124
- a(n) = -a(n-1) - 2*a(n-2).at n=23A001607
- Number of partitions of floor(5n/2) into n nonnegative integers each no more than 5.at n=18A001975
- a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ).at n=21A003318
- Numbers divisible only by primes congruent to 1 mod 7.at n=29A004619
- Class 4- primes (for definition see A005109).at n=20A005112
- Primes p such that 2p-1 is also prime.at n=33A005382
- Spiral sieve using Fibonacci numbers.at n=14A005625
- Prime-indexed primes: primes with prime subscripts.at n=37A006450
- Emirps (primes whose reversal is a different prime).at n=32A006567
- Crystal ball sequence for hexagonal close-packing.at n=6A007202
- Add 2, then reverse digits!.at n=56A007396
- Smallest prime > n^2.at n=30A007491
- Primes whose reversal in base 10 is also prime (called "palindromic primes" by David Wells, although that name usually refers to A002385). Also called reversible primes.at n=52A007500
- Primes of the form 8n+7, that is, primes congruent to -1 mod 8.at n=40A007522
- Natural numbers exponentiated twice.at n=4A007550
- Coordination sequence T1 for Zeolite Code BIK.at n=19A008047
- Coordination sequence T1 for Zeolite Code GOO.at n=21A008111
- Dates of birth of Kings Louis I, II, ... of France.at n=4A008746