53631 has 12 divisors (see below), whose sum is σ = 79560. Its totient is φ = 34800.

The previous prime is 53629. The next prime is 53633. The reversal of 53631 is 13635.

It is an interprime number because it is at equal distance from previous prime (53629) and next prime (53633).

It is not a de Polignac number, because 53631 - 2¹ = 53629 is a prime.

It is a super-2 number, since 2×53631² = 5752568322, which contains 22 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53633) 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 11 ways as a sum of consecutive naturals, for example, 481 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (6630).

2⁵³⁶³¹ is an apocalyptic number.

53631 is a deficient number, since it is larger than the sum of its proper divisors (25929).

53631 is a wasteful number, since it uses less digits than its factorization.

53631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 163 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 53631 is about 231.5836781813. The cubic root of 53631 is about 37.7113400395.

Subtracting from 53631 its product of digits (270), we obtain a square (53361 = 231²).

The spelling of 53631 in words is "fifty-three thousand, six hundred thirty-one".