58552 has 16 divisors (see below), whose sum is σ = 118440. Its totient is φ = 26976.

The previous prime is 58549. The next prime is 58567. The reversal of 58552 is 25585.

58552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178 + ... + 385.

2⁵⁸⁵⁵² is an apocalyptic number.

58552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

58552 is an abundant number, since it is smaller than the sum of its proper divisors (59888).

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 (59220).

58552 is a wasteful number, since it uses less digits than its factorization.

58552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its digits is 2000, while the sum is 25.

The square root of 58552 is about 241.9752053414. The cubic root of 58552 is about 38.8311791044.

The spelling of 58552 in words is "fifty-eight thousand, five hundred fifty-two".