58023 has 16 divisors (see below), whose sum is σ = 98560. Its totient is φ = 33048.

The previous prime is 58013. The next prime is 58027. The reversal of 58023 is 32085.

It is not a de Polignac number, because 58023 - 2⁵ = 57991 is a prime.

58023 is a lucky number.

It is a nialpdrome in base 7 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 57987 and 58005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (6160).

2⁵⁸⁰²³ is an apocalyptic number.

58023 is a deficient number, since it is larger than the sum of its proper divisors (40537).

58023 is a wasteful number, since it uses less digits than its factorization.

58023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 58023 is about 240.8796379937. The cubic root of 58023 is about 38.7138824061.

The spelling of 58023 in words is "fifty-eight thousand, twenty-three".