58359 has 12 divisors (see below), whose sum is σ = 90744. Its totient is φ = 33264.

The previous prime is 58337. The next prime is 58363. The reversal of 58359 is 95385.

It is not a de Polignac number, because 58359 - 2⁷ = 58231 is a prime.

It is a plaindrome in base 15.

It is a nialpdrome in base 7.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 52 + ... + 345.

It is an arithmetic number, because the mean of its divisors is an integer number (7562).

2⁵⁸³⁵⁹ is an apocalyptic number.

58359 is a deficient number, since it is larger than the sum of its proper divisors (32385).

58359 is a wasteful number, since it uses less digits than its factorization.

58359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 407 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 58359 is about 241.5760749743. The cubic root of 58359 is about 38.7884668311.

The spelling of 58359 in words is "fifty-eight thousand, three hundred fifty-nine".