58045 has 16 divisors (see below), whose sum is σ = 80640. Its totient is φ = 39744.

The previous prime is 58043. The next prime is 58049. The reversal of 58045 is 54085.

58045 = 46² + 47² + ... + 64².

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 58045 - 2¹ = 58043 is a prime.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58043) 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, 1212 + ... + 1258.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁵⁸⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

58045 is a deficient number, since it is larger than the sum of its proper divisors (22595).

58045 is a wasteful number, since it uses less digits than its factorization.

58045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 58045 is about 240.9252996263. The cubic root of 58045 is about 38.7187747062.

It can be divided in two parts, 580 and 45, that added together give a 4-th power (625 = 5⁴).

The spelling of 58045 in words is "fifty-eight thousand, forty-five".