58758 has 16 divisors (see below), whose sum is σ = 134400. Its totient is φ = 16776.

The previous prime is 58757. The next prime is 58763. The reversal of 58758 is 85785.

58758 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58758.

It is not an unprimeable number, because it can be changed into a prime (58757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁵⁸⁷⁵⁸ is an apocalyptic number.

58758 is an abundant number, since it is smaller than the sum of its proper divisors (75642).

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 (67200).

58758 is a wasteful number, since it uses less digits than its factorization.

58758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411.

The product of its digits is 11200, while the sum is 33.

The square root of 58758 is about 242.4004950490. The cubic root of 58758 is about 38.8766649411.

The spelling of 58758 in words is "fifty-eight thousand, seven hundred fifty-eight".