58005 has 12 divisors (see below), whose sum is σ = 100620. Its totient is φ = 30912.

The previous prime is 57991. The next prime is 58013. The reversal of 58005 is 50085.

58005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 23409 = 186^2 + 153^2 .

It is not a de Polignac number, because 58005 - 2⁵ = 57973 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600 + ... + 689.

It is an arithmetic number, because the mean of its divisors is an integer number (8385).

2⁵⁸⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

58005 is a deficient number, since it is larger than the sum of its proper divisors (42615).

58005 is a wasteful number, since it uses less digits than its factorization.

58005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 58005 is about 240.8422720371. The cubic root of 58005 is about 38.7098786952.

The spelling of 58005 in words is "fifty-eight thousand, five".