58296 has 32 divisors (see below), whose sum is σ = 167040. Its totient is φ = 16608.

The previous prime is 58271. The next prime is 58309. The reversal of 58296 is 69285.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

58296 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 in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (5220).

2⁵⁸²⁹⁶ is an apocalyptic number.

58296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83520).

58296 is an abundant number, since it is smaller than the sum of its proper divisors (108744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58296 is a wasteful number, since it uses less digits than its factorization.

58296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 58296 is about 241.4456460572. The cubic root of 58296 is about 38.7745040989.

The spelling of 58296 in words is "fifty-eight thousand, two hundred ninety-six".