56316 has 36 divisors (see below), whose sum is σ = 149352. Its totient is φ = 16416.

The previous prime is 56311. The next prime is 56333. The reversal of 56316 is 61365.

It is a junction number, because it is equal to n+sod(n) for n = 56292 and 56301.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56316.

It is not an unprimeable number, because it can be changed into a prime (56311) by changing a digit.

56316 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 11 ways as a sum of consecutive naturals, for example, 2955 + ... + 2973.

2⁵⁶³¹⁶ 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 56316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74676).

56316 is an abundant number, since it is smaller than the sum of its proper divisors (93036).

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

56316 is a wasteful number, since it uses less digits than its factorization.

56316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 37 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 56316 is about 237.3099239391. The cubic root of 56316 is about 38.3304513691.

The spelling of 56316 in words is "fifty-six thousand, three hundred sixteen".