58356 has 18 divisors (see below), whose sum is σ = 147602. Its totient is φ = 19440.

The previous prime is 58337. The next prime is 58363. The reversal of 58356 is 65385.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 3600 = 234^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 15.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 775 + ... + 846.

2⁵⁸³⁵⁶ is an apocalyptic number.

It is an amenable number.

58356 is an abundant number, since it is smaller than the sum of its proper divisors (89246).

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

58356 is a wasteful number, since it uses less digits than its factorization.

58356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1626 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 58356 is about 241.5698656704. The cubic root of 58356 is about 38.7878021670.

Subtracting from 58356 its product of digits (3600), we obtain a square (54756 = 234²).

It can be divided in two parts, 58 and 356, that added together give a palindrome (414).

The spelling of 58356 in words is "fifty-eight thousand, three hundred fifty-six".