58805 has 8 divisors (see below), whose sum is σ = 74400. Its totient is φ = 44496.

The previous prime is 58789. The next prime is 58831. The reversal of 58805 is 50885.

58805 is nontrivially palindromic in base 9.

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 58805 - 2⁴ = 58789 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58805.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2⁵⁸⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

58805 is a deficient number, since it is larger than the sum of its proper divisors (15595).

58805 is a wasteful number, since it uses less digits than its factorization.

58805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643.

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 58805 is about 242.4974226667. The cubic root of 58805 is about 38.8870278777.

It can be divided in two parts, 5880 and 5, that added together give a palindrome (5885).

The spelling of 58805 in words is "fifty-eight thousand, eight hundred five".