58523 has 4 divisors (see below), whose sum is σ = 59928. Its totient is φ = 57120.

The previous prime is 58511. The next prime is 58537. The reversal of 58523 is 32585.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 58523 - 2¹⁴ = 42139 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 638 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (14982).

2⁵⁸⁵²³ is an apocalyptic number.

58523 is a deficient number, since it is larger than the sum of its proper divisors (1405).

58523 is a wasteful number, since it uses less digits than its factorization.

58523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404.

The product of its digits is 1200, while the sum is 23.

The square root of 58523 is about 241.9152744247. The cubic root of 58523 is about 38.8247671962.

The spelling of 58523 in words is "fifty-eight thousand, five hundred twenty-three".