58305 has 24 divisors (see below), whose sum is σ = 105408. Its totient is φ = 27456.

The previous prime is 58271. The next prime is 58309. The reversal of 58305 is 50385.

58305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58305 - 2⁸ = 58049 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (58309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2524 + ... + 2546.

It is an arithmetic number, because the mean of its divisors is an integer number (4392).

2⁵⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

58305 is a deficient number, since it is larger than the sum of its proper divisors (47103).

58305 is a wasteful number, since it uses less digits than its factorization.

58305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 58305 is about 241.4642830731. The cubic root of 58305 is about 38.7764993906.

It can be divided in two parts, 58 and 305, that added together give a palindrome (363).

The spelling of 58305 in words is "fifty-eight thousand, three hundred five".