12769
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
- 3
- Divisor Sum
- 12883
- Proper Divisor Sum (Aliquot Sum)
- 114
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12656
- Möbius Function
- 0
- Radical
- 113
- Omega Function (Ω)
- 2
- 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
- yes
- 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
- 156
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Squares of primes.at n=29A001248
- Numbers k where |cos(k)| (or |cosec(k)| or |cot(k)|) decreases monotonically to 0; also numbers k where |tan(k)| (or |sec(k)|, or |sin(k)|) increases.at n=41A004112
- Crystal ball sequence for D_4 lattice.at n=7A007204
- a(n) = (3n+2)^2.at n=38A016790
- a(n) = (4*n + 1)^2.at n=28A016814
- a(n) = (5*n + 3)^2.at n=22A016886
- a(n) = (6*n + 5)^2.at n=18A016970
- a(n) = (7*n + 1)^2.at n=16A016994
- a(n) = (8*n + 1)^2.at n=14A017078
- a(n) = (9*n + 5)^2.at n=12A017222
- a(n) = (10*n + 3)^2.at n=11A017306
- a(n) = (11*n + 3)^2.at n=10A017426
- a(n) = (12*n + 5)^2.at n=9A017582
- Strong pseudoprimes to base 68.at n=21A020294
- Smallest square containing n-th prime as substring.at n=30A029945
- Squares which are palindromes in base 3.at n=13A029985
- Squares-of-primes in which no two adjacent digits have the same parity.at n=9A030146
- Squares in which parity of digits alternates.at n=24A030152
- Odd squares in which parity of digits alternates.at n=14A030156
- Smallest extension of n-th prime which is a square.at n=30A030671