56992 has 24 divisors (see below), whose sum is σ = 121716. Its totient is φ = 26112.

The previous prime is 56989. The next prime is 56993. The reversal of 56992 is 29965.

56992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 1296 = 236^2 + 36^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (56993) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 348 + ... + 484.

2⁵⁶⁹⁹² is an apocalyptic number.

56992 is a gapful number since it is divisible by the number (52) 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 56992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60858).

56992 is an abundant number, since it is smaller than the sum of its proper divisors (64724).

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

56992 is a wasteful number, since it uses less digits than its factorization.

56992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its digits is 4860, while the sum is 31.

The square root of 56992 is about 238.7299729820. The cubic root of 56992 is about 38.4832107602.

The spelling of 56992 in words is "fifty-six thousand, nine hundred ninety-two".