12631 has 4 divisors (see below), whose sum is σ = 13392. Its totient is φ = 11872.

The previous prime is 12619. The next prime is 12637. The reversal of 12631 is 13621.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13621 = 53 ⋅257.

It is a cyclic number.

It is not a de Polignac number, because 12631 - 2⁷ = 12503 is a prime.

It is a super-2 number, since 2×12631² = 319084322, which contains 22 as substring.

It is a Duffinian number.

12631 is a lucky number.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12637) 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, 355 + ... + 388.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

2¹²⁶³¹ is an apocalyptic number.

12631 is a deficient number, since it is larger than the sum of its proper divisors (761).

12631 is an equidigital number, since it uses as much as digits as its factorization.

12631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760.

The product of its digits is 36, while the sum is 13.

The square root of 12631 is about 112.3877217493. The cubic root of 12631 is about 23.2887356752.

Subtracting 12631 from its reverse (13621), we obtain a triangular number (990 = T₄₄).

The spelling of 12631 in words is "twelve thousand, six hundred thirty-one".