10631 has 2 divisors, whose sum is σ = 10632. Its totient is φ = 10630.

The previous prime is 10627. The next prime is 10639. The reversal of 10631 is 13601.

10631 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 cyclic number.

It is not a de Polignac number, because 10631 - 2² = 10627 is a prime.

It is a super-2 number, since 2×10631² = 226036322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10639) 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, 5315 + 5316.

It is an arithmetic number, because the mean of its divisors is an integer number (5316).

2¹⁰⁶³¹ is an apocalyptic number.

10631 is a deficient number, since it is larger than the sum of its proper divisors (1).

10631 is an equidigital number, since it uses as much as digits as its factorization.

10631 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10631 is about 103.1067408078. The cubic root of 10631 is about 21.9882857747.

The spelling of 10631 in words is "ten thousand, six hundred thirty-one".