16361
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16362
- 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
- 16360
- Möbius Function
- -1
- Radical
- 16361
- 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
- 159
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1897
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Palindromic primes: prime numbers whose decimal expansion is a palindrome.at n=36A002385
- a(n) = Sum_{k=0..n} binomial(n, k) * k! / floor(k/2)!.at n=8A018191
- Palindromic primes in which parity of digits alternates.at n=15A030150
- Erroneous version of A256957.at n=5A046210
- Palindromic primes containing no pair of consecutive equal digits.at n=31A050784
- Palindromic primes whose sum of squared digits is also prime.at n=16A052035
- Primes p whose reciprocal has period (p-1)/10.at n=26A056215
- Primes which can be expressed as concatenation of powers of 6 and 0's.at n=21A066597
- Let p = abc..k be a prime in base 10. Define mirror(p) = abc...k...cba. Sequence gives primes of the form mirror(p) for some p.at n=9A068686
- Numbers n such that phi(n) + sigma(n) = n + reversal(n).at n=37A069217
- Numbers n such that n and 2n+1 are both palindromes.at n=36A069881
- Palindromic primes with prime middle digit.at n=19A076611
- Duplicate of A018191.at n=8A081126
- Palindromic primes = 1 mod 4.at n=18A081220
- Palindromic primes with middle digit 3.at n=6A082439
- Palindromic prime units W appearing twice in first-order fractal palindromic primes WmW.at n=18A082598
- Palindromes which are prime and the sum of the digits is also prime.at n=24A082806
- Primes in A083137.at n=36A083139
- Palindromic primes which are a member of a twin prime pair.at n=15A083840
- Palindromic primes p such that p+2 is also a prime: members of A083840 which are the smaller member of a twin prime pair.at n=9A083841