58364 has 6 divisors (see below), whose sum is σ = 102144. Its totient is φ = 29180.

The previous prime is 58363. The next prime is 58367. The reversal of 58364 is 46385.

It is a plaindrome in base 15.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7292 + ... + 7299.

It is an arithmetic number, because the mean of its divisors is an integer number (17024).

2⁵⁸³⁶⁴ is an apocalyptic number.

It is an amenable number.

58364 is a deficient number, since it is larger than the sum of its proper divisors (43780).

58364 is a wasteful number, since it uses less digits than its factorization.

58364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14595 (or 14593 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 58364 is about 241.5864234596. The cubic root of 58364 is about 38.7895745540.

It can be divided in two parts, 58 and 364, that multiplied together give a palindrome (21112).

The spelling of 58364 in words is "fifty-eight thousand, three hundred sixty-four".