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13931 is a prime number
BaseRepresentation
bin11011001101011
3201002222
43121223
5421211
6144255
755421
oct33153
921088
1013931
11a515
12808b
136458
145111
1541db
hex366b

13931 has 2 divisors, whose sum is σ = 13932. Its totient is φ = 13930.

The previous prime is 13921. The next prime is 13933.

13931 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 13931 - 210 = 12907 is a prime.

It is a super-2 number, since 2×139312 = 388145522, which contains 22 as substring.

Together with 13933, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 16.

It is a nialpdrome in base 7 and base 14.

It is not a weakly prime, because it can be changed into another prime (13933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6965 + 6966.

It is an arithmetic number, because the mean of its divisors is an integer number (6966).

213931 is an apocalyptic number.

13931 is a deficient number, since it is larger than the sum of its proper divisors (1).

13931 is an equidigital number, since it uses as much as digits as its factorization.

13931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 81, while the sum is 17.

The square root of 13931 is about 118.0296572900. The cubic root of 13931 is about 24.0617622195.

The spelling of 13931 in words is "thirteen thousand, nine hundred thirty-one".