59312 has 20 divisors (see below), whose sum is σ = 125736. Its totient is φ = 26880.

The previous prime is 59281. The next prime is 59333. The reversal of 59312 is 21395.

It is a d-powerful number, because it can be written as 5³ + 9 + 3¹⁰ + 1 + 2⁷ .

It is a plaindrome in base 14.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59312.

It is an unprimeable number.

59312 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 3 ways as a sum of consecutive naturals, for example, 8 + ... + 344.

2⁵⁹³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62868).

59312 is an abundant number, since it is smaller than the sum of its proper divisors (66424).

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

59312 is a wasteful number, since it uses less digits than its factorization.

59312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its digits is 270, while the sum is 20.

The square root of 59312 is about 243.5405510382. The cubic root of 59312 is about 38.9984658612.

The spelling of 59312 in words is "fifty-nine thousand, three hundred twelve".