58832 has 10 divisors (see below), whose sum is σ = 114018. Its totient is φ = 29408.

The previous prime is 58831. The next prime is 58889. The reversal of 58832 is 23885.

58832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 3136 = 236^2 + 56^2 .

It is a super-2 number, since 2×58832² = 6922408448, which contains 22 as substring.

It is a plaindrome in base 7.

It is a zygodrome in base 3 and base 7.

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 58832.

It is not an unprimeable number, because it can be changed into a prime (58831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1823 + ... + 1854.

2⁵⁸⁸³² is an apocalyptic number.

It is an amenable number.

58832 is a deficient number, since it is larger than the sum of its proper divisors (55186).

58832 is a wasteful number, since it uses less digits than its factorization.

58832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3679 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 58832 is about 242.5530869727. The cubic root of 58832 is about 38.8929785571.

It can be divided in two parts, 5883 and 2, that added together give a palindrome (5885).

The spelling of 58832 in words is "fifty-eight thousand, eight hundred thirty-two".