58764 has 24 divisors (see below), whose sum is σ = 141120. Its totient is φ = 19024.

The previous prime is 58763. The next prime is 58771. The reversal of 58764 is 46785.

It is a happy number.

58764 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58764.

It is not an unprimeable number, because it can be changed into a prime (58763) 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, 667 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (5880).

2⁵⁸⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

58764 is an abundant number, since it is smaller than the sum of its proper divisors (82356).

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 (70560).

58764 is a wasteful number, since it uses less digits than its factorization.

58764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 58764 is about 242.4128709454. The cubic root of 58764 is about 38.8779881768.

The spelling of 58764 in words is "fifty-eight thousand, seven hundred sixty-four".