58338 has 24 divisors (see below), whose sum is σ = 144768. Its totient is φ = 16632.

The previous prime is 58337. The next prime is 58363. The reversal of 58338 is 83385.

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 11 ways as a sum of consecutive naturals, for example, 106 + ... + 357.

It is an arithmetic number, because the mean of its divisors is an integer number (6032).

2⁵⁸³³⁸ is an apocalyptic number.

58338 is an abundant number, since it is smaller than the sum of its proper divisors (86430).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72384).

58338 is a wasteful number, since it uses less digits than its factorization.

58338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

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

The square root of 58338 is about 241.5326064944. The cubic root of 58338 is about 38.7838137041.

Subtracting from 58338 its sum of digits (27), we obtain a triangular number (58311 = T₃₄₁).

It can be divided in two parts, 5833 and 8, that multiplied together give a palindrome (46664).

The spelling of 58338 in words is "fifty-eight thousand, three hundred thirty-eight".