58351 has 8 divisors (see below), whose sum is σ = 63360. Its totient is φ = 53592.

The previous prime is 58337. The next prime is 58363. The reversal of 58351 is 15385.

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 58351 - 2⁹ = 57839 is a prime.

It is a Duffinian number.

58351 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58321) 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, 960 + ... + 1018.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁵⁸³⁵¹ is an apocalyptic number.

58351 is a deficient number, since it is larger than the sum of its proper divisors (5009).

58351 is a wasteful number, since it uses less digits than its factorization.

58351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125.

The product of its digits is 600, while the sum is 22.

The square root of 58351 is about 241.5595164758. The cubic root of 58351 is about 38.7866943429.

The spelling of 58351 in words is "fifty-eight thousand, three hundred fifty-one".