12697
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12698
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12696
- Möbius Function
- -1
- Radical
- 12697
- 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
- 37
- Smith Number
- no
- Vampire 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
- 1516
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=32A031824
- Smallest prime == 1 mod (n^2).at n=22A035091
- Number of partitions in parts not of the form 13k, 13k+1 or 13k-1. Also number of partitions with no part of size 1 and differences between parts at distance 5 are greater than 1.at n=46A035949
- Primes p from A031924 such that A052180(primepi(p)) = 13.at n=20A052233
- Primes of the form 1+(1+p)*p^e, p prime and e>0.at n=19A087196
- Diagonal of A088262.at n=38A088263
- Primes of the form 6*k^2 + 1.at n=13A090687
- Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=14A091365
- a(n) = n^3 + n^2 + 1.at n=23A098547
- a(n) = floor(n^(n/3)/n!!!).at n=34A114863
- Primes of the form k^3 + k^2 + 1.at n=8A120479
- a(n)*a(n-7) = a(n-1)a(n-6)+a(n-3)+a(n-4) with initial terms a(1)=...=a(7)=1.at n=21A133846
- Primes of the form 2*3*5*7*k + 97.at n=31A141899
- Primes congruent to 6 mod 37.at n=38A142115
- Primes congruent to 28 mod 41.at n=36A142225
- Primes congruent to 12 mod 43.at n=37A142261
- Primes congruent to 7 mod 47.at n=33A142358
- Primes congruent to 6 mod 49.at n=35A142419
- Primes congruent to 30 mod 53.at n=30A142560
- Primes congruent to 47 mod 55.at n=37A142634