58233 has 16 divisors (see below), whose sum is σ = 92160. Its totient is φ = 32016.

The previous prime is 58231. The next prime is 58237. The reversal of 58233 is 33285.

It is not a de Polignac number, because 58233 - 2¹ = 58231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

58233 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (58231) 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, 958 + ... + 1016.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁵⁸²³³ is an apocalyptic number.

It is an amenable number.

58233 is a deficient number, since it is larger than the sum of its proper divisors (33927).

58233 is a wasteful number, since it uses less digits than its factorization.

58233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116.

The product of its digits is 720, while the sum is 21.

The square root of 58233 is about 241.3151466444. The cubic root of 58233 is about 38.7605313034.

The spelling of 58233 in words is "fifty-eight thousand, two hundred thirty-three".