12983
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 12984
- 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
- 12982
- Möbius Function
- -1
- Radical
- 12983
- 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
- 169
- 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
- 1547
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 6*p+1 is also prime.at n=40A075705
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=35A075707
- Primes that represent some mean of 4 consecutive (2 smaller, itself, 1 larger) primes.at n=33A094932
- Indices of primes in sequence defined by A(0) = 13, A(n) = 10*A(n-1) + 63 for n > 0.at n=15A102033
- Smallest of five consecutive primes whose sum of digits is prime.at n=33A106718
- Smallest prime of the set of five consecutive primes whose sum of digits is a set of five distinct primes.at n=3A106816
- Smallest prime of the set of four consecutive primes whose sum of digits is a set of four distinct primes.at n=30A106817
- Binomial transform of A006053.at n=10A116423
- Where records occur in A118522.at n=14A118524
- Smallest number that can be written in exactly n ways as a sum of distinct repdigits of its decimal digits.at n=27A131367
- Primes congruent to 27 mod 41.at n=34A142224
- Primes congruent to 40 mod 43.at n=32A142289
- Primes congruent to 11 mod 47.at n=32A142362
- Primes congruent to 47 mod 49.at n=36A142454
- Primes congruent to 51 mod 53.at n=28A142581
- Primes congruent to 3 mod 55.at n=41A142603
- Primes congruent to 3 mod 59.at n=24A142730
- Primes congruent to 51 mod 61.at n=27A142849
- Primes of the form n^2 - 13.at n=13A154648
- Five-digit mountain-type primes that increase to and decrease from the central digit, including palindromes.at n=13A156116