79956 has 18 divisors (see below), whose sum is σ = 202202. Its totient is φ = 26640.

The previous prime is 79943. The next prime is 79967. The reversal of 79956 is 65997.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 7056 = 270^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2221 = 79956 / (7 + 9 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 79956.

It is a congruent number.

It is an unprimeable number.

79956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1075 + ... + 1146.

2⁷⁹⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

79956 is an abundant number, since it is smaller than the sum of its proper divisors (122246).

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

79956 is a wasteful number, since it uses less digits than its factorization.

79956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2226 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 79956 is about 282.7649200308. The cubic root of 79956 is about 43.0807927581.

It can be divided in two parts, 7995 and 6, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 79956 in words is "seventy-nine thousand, nine hundred fifty-six".