58652 has 24 divisors (see below), whose sum is σ = 118272. Its totient is φ = 25200.

The previous prime is 58631. The next prime is 58657. The reversal of 58652 is 25685.

58652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58657) by changing a digit.

58652 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1343 + ... + 1385.

It is an arithmetic number, because the mean of its divisors is an integer number (4928).

2⁵⁸⁶⁵² is an apocalyptic number.

It is an amenable number.

58652 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (59136).

58652 is a wasteful number, since it uses less digits than its factorization.

58652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

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

The square root of 58652 is about 242.1817499317. The cubic root of 58652 is about 38.8532729092.

The spelling of 58652 in words is "fifty-eight thousand, six hundred fifty-two".