58662 has 12 divisors (see below), whose sum is σ = 127140. Its totient is φ = 19548.

The previous prime is 58661. The next prime is 58679. The reversal of 58662 is 26685.

58662 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58662.

It is not an unprimeable number, because it can be changed into a prime (58661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1612 + ... + 1647.

It is an arithmetic number, because the mean of its divisors is an integer number (10595).

2⁵⁸⁶⁶² is an apocalyptic number.

58662 is an abundant number, since it is smaller than the sum of its proper divisors (68478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58662 is a wasteful number, since it uses less digits than its factorization.

58662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3264 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 58662 is about 242.2023947033. The cubic root of 58662 is about 38.8554809081.

The spelling of 58662 in words is "fifty-eight thousand, six hundred sixty-two".