13831 has 2 divisors, whose sum is σ = 13832. Its totient is φ = 13830.

The previous prime is 13829. The next prime is 13841.

13831 is nontrivially palindromic in base 10.

13831 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 13831 - 2¹ = 13829 is a prime.

It is a super-2 number, since 2×13831² = 382593122, which contains 22 as substring.

Together with 13829, it forms a pair of twin primes.

13831 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6915 + 6916.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2¹³⁸³¹ is an apocalyptic number.

13831 is a deficient number, since it is larger than the sum of its proper divisors (1).

13831 is an equidigital number, since it uses as much as digits as its factorization.

13831 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 16.

The square root of 13831 is about 117.6052719907. The cubic root of 13831 is about 24.0040502424.

It can be divided in two parts, 138 and 31, that multiplied together give a triangular number (4278 = T₉₂).

The spelling of 13831 in words is "thirteen thousand, eight hundred thirty-one".