58631 has 2 divisors, whose sum is σ = 58632. Its totient is φ = 58630.

The previous prime is 58613. The next prime is 58657. The reversal of 58631 is 13685.

58631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (58613) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 58631 - 2⁶ = 58567 is a prime.

It is a super-2 number, since 2×58631² = 6875188322, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 58597 and 58606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29315 + 29316.

It is an arithmetic number, because the mean of its divisors is an integer number (29316).

2⁵⁸⁶³¹ is an apocalyptic number.

58631 is a deficient number, since it is larger than the sum of its proper divisors (1).

58631 is an equidigital number, since it uses as much as digits as its factorization.

58631 is an evil number, because the sum of its binary digits is even.

The product of its digits is 720, while the sum is 23.

The square root of 58631 is about 242.1383901821. The cubic root of 58631 is about 38.8486352945.

The spelling of 58631 in words is "fifty-eight thousand, six hundred thirty-one".