58830 has 32 divisors (see below), whose sum is σ = 147744. Its totient is φ = 14976.

The previous prime is 58789. The next prime is 58831. The reversal of 58830 is 3885.

It is a self number, because there is not a number n which added to its sum of digits gives 58830.

It is a congruent number.

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 in 15 ways as a sum of consecutive naturals, for example, 1084 + ... + 1136.

It is an arithmetic number, because the mean of its divisors is an integer number (4617).

2⁵⁸⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872).

58830 is an abundant number, since it is smaller than the sum of its proper divisors (88914).

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

58830 is a wasteful number, since it uses less digits than its factorization.

58830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 58830 is about 242.5489641289. The cubic root of 58830 is about 38.8925378284.

Subtracting from 58830 its reverse (3885), we obtain a palindrome (54945).

It can be divided in two parts, 58 and 830, that added together give a palindrome (888).

The spelling of 58830 in words is "fifty-eight thousand, eight hundred thirty".