58355 has 8 divisors (see below), whose sum is σ = 76464. Its totient is φ = 42400.

The previous prime is 58337. The next prime is 58363. The reversal of 58355 is 55385.

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

It is not a de Polignac number, because 58355 - 2⁸ = 58099 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (9558).

2⁵⁸³⁵⁵ is an apocalyptic number.

58355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

58355 is a deficient number, since it is larger than the sum of its proper divisors (18109).

58355 is a wasteful number, since it uses less digits than its factorization.

58355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077.

The product of its digits is 3000, while the sum is 26.

The square root of 58355 is about 241.5677958669. The cubic root of 58355 is about 38.7875806073.

Subtracting from 58355 its product of digits (3000), we obtain a palindrome (55355).

The spelling of 58355 in words is "fifty-eight thousand, three hundred fifty-five".