58330 has 16 divisors (see below), whose sum is σ = 110880. Its totient is φ = 22032.

The previous prime is 58321. The next prime is 58337. The reversal of 58330 is 3385.

58330 = 106² + 107² + ... + 110².

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 58298 and 58307.

It is not an unprimeable number, because it can be changed into a prime (58337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (6930).

2⁵⁸³³⁰ is an apocalyptic number.

58330 is a deficient number, since it is larger than the sum of its proper divisors (52550).

58330 is a wasteful number, since it uses less digits than its factorization.

58330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 58330 is about 241.5160450156. The cubic root of 58330 is about 38.7820407905.

Subtracting from 58330 its sum of digits (19), we obtain a triangular number (58311 = T₃₄₁).

Subtracting from 58330 its product of nonzero digits (360), we obtain a triangular number (57970 = T₃₄₀).

Subtracting from 58330 its reverse (3385), we obtain a palindrome (54945).

The spelling of 58330 in words is "fifty-eight thousand, three hundred thirty".