58353 has 8 divisors (see below), whose sum is σ = 79488. Its totient is φ = 38064.

The previous prime is 58337. The next prime is 58363. The reversal of 58353 is 35385.

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

It is not a de Polignac number, because 58353 - 2⁴ = 58337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58313) 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, 25 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (9936).

2⁵⁸³⁵³ is an apocalyptic number.

58353 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

It is an amenable number.

58353 is a deficient number, since it is larger than the sum of its proper divisors (21135).

58353 is a wasteful number, since it uses less digits than its factorization.

58353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423.

The product of its digits is 1800, while the sum is 24.

The square root of 58353 is about 241.5636562068. The cubic root of 58353 is about 38.7871374802.

It can be divided in two parts, 583 and 53, that added together give a palindrome (636).

The spelling of 58353 in words is "fifty-eight thousand, three hundred fifty-three".