58336 has 12 divisors (see below), whose sum is σ = 114912. Its totient is φ = 29152.

The previous prime is 58321. The next prime is 58337. The reversal of 58336 is 63385.

58336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 58336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58337) by changing a digit.

58336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 880 + ... + 943.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁵⁸³³⁶ is an apocalyptic number.

It is an amenable number.

58336 is a deficient number, since it is larger than the sum of its proper divisors (56576).

58336 is a wasteful number, since it uses less digits than its factorization.

58336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1825 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 58336 is about 241.5284662312. The cubic root of 58336 is about 38.7833704909.

Subtracting from 58336 its sum of digits (25), we obtain a triangular number (58311 = T₃₄₁).

The spelling of 58336 in words is "fifty-eight thousand, three hundred thirty-six".