13631 has 4 divisors (see below), whose sum is σ = 13992. Its totient is φ = 13272.

The previous prime is 13627. The next prime is 13633.

13631 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13631 - 2² = 13627 is a prime.

It is a super-2 number, since 2×13631² = 371608322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13633) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (3498).

2¹³⁶³¹ is an apocalyptic number.

13631 is a deficient number, since it is larger than the sum of its proper divisors (361).

13631 is an equidigital number, since it uses as much as digits as its factorization.

13631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360.

The product of its digits is 54, while the sum is 14.

The square root of 13631 is about 116.7518736466. The cubic root of 13631 is about 23.8877863402.

The spelling of 13631 in words is "thirteen thousand, six hundred thirty-one".