12527
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12528
- 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
- 12526
- Möbius Function
- -1
- Radical
- 12527
- 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
- 231
- 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
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1496
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into parts not of the form 15k, 15k+2 or 15k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 6 are greater than 1.at n=41A035956
- Primes resulting from procedure described in A048393.at n=6A048394
- Starting positions of strings of 3 1's in the decimal expansion of Pi.at n=10A050209
- Column 2 of triangle A055300.at n=13A055301
- Smaller term of closest safe prime pairs.at n=13A059323
- Special safe primes (from A005385) such that the next prime is also a safe prime.at n=7A059394
- Smaller of safe prime twins: special safe primes (A005385) p such that the next prime is also the next safe prime and is p+12, i.e., occurs at the closest possible distance, 12.at n=5A059395
- Primes which can be expressed as concatenation of cubes.at n=33A066592
- Prime(n)*prime(2*n)+prime(n)+prime(2*n).at n=19A072672
- Primes of form prime(n)*prime(2*n)+prime(n)+prime(2*n).at n=9A072673
- Intersection of A061068 and A064270.at n=30A128996
- Primes of the form a^a + b^b + c^c + d^d + e^e.at n=25A136292
- a(n) is n-th prime == -1 (mod 6n).at n=28A138905
- Primes congruent to 21 mod 37.at n=36A142130
- Primes congruent to 22 mod 41.at n=37A142219
- Primes congruent to 14 mod 43.at n=34A142263
- Primes congruent to 25 mod 47.at n=31A142376
- Primes congruent to 32 mod 49.at n=36A142441
- Primes congruent to 19 mod 53.at n=32A142549
- Primes congruent to 42 mod 55.at n=39A142631