56631 has 8 divisors (see below), whose sum is σ = 77440. Its totient is φ = 36792.

The previous prime is 56629. The next prime is 56633. The reversal of 56631 is 13665.

It is an interprime number because it is at equal distance from previous prime (56629) and next prime (56633).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 56631 - 2¹ = 56629 is a prime.

It is a super-2 number, since 2×56631² = 6414140322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56598 and 56607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 348.

It is an arithmetic number, because the mean of its divisors is an integer number (9680).

2⁵⁶⁶³¹ is an apocalyptic number.

56631 is a deficient number, since it is larger than the sum of its proper divisors (20809).

56631 is a wasteful number, since it uses less digits than its factorization.

56631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485.

The product of its digits is 540, while the sum is 21.

The square root of 56631 is about 237.9726875085. The cubic root of 56631 is about 38.4017848563.

The spelling of 56631 in words is "fifty-six thousand, six hundred thirty-one".