58205 has 8 divisors (see below), whose sum is σ = 79872. Its totient is φ = 39888.

The previous prime is 58199. The next prime is 58207. The reversal of 58205 is 50285.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58205 - 2⁴ = 58189 is a prime.

It is a Duffinian number.

It is a Curzon number.

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 (58207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797 + ... + 866.

It is an arithmetic number, because the mean of its divisors is an integer number (9984).

2⁵⁸²⁰⁵ is an apocalyptic number.

It is an amenable number.

58205 is a deficient number, since it is larger than the sum of its proper divisors (21667).

58205 is a wasteful number, since it uses less digits than its factorization.

58205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675.

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 58205 is about 241.2571242471. The cubic root of 58205 is about 38.7543179371.

Subtracting from 58205 its sum of digits (20), we obtain a palindrome (58185).

The spelling of 58205 in words is "fifty-eight thousand, two hundred five".