58256 has 20 divisors (see below), whose sum is σ = 123504. Its totient is φ = 26400.

The previous prime is 58243. The next prime is 58271. The reversal of 58256 is 65285.

It is an unprimeable number.

58256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 341.

2⁵⁸²⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61752).

58256 is an abundant number, since it is smaller than the sum of its proper divisors (65248).

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

58256 is a wasteful number, since it uses less digits than its factorization.

58256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 58256 is about 241.3627974647. The cubic root of 58256 is about 38.7656336501.

The spelling of 58256 in words is "fifty-eight thousand, two hundred fifty-six".