79937 has 12 divisors (see below), whose sum is σ = 96624. Its totient is φ = 65520.

The previous prime is 79907. The next prime is 79939. The reversal of 79937 is 73997.

It is not a de Polignac number, because 79937 - 2⁶ = 79873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 79897 and 79906.

It is not an unprimeable number, because it can be changed into a prime (79939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1838 + ... + 1880.

It is an arithmetic number, because the mean of its divisors is an integer number (8052).

2⁷⁹⁹³⁷ is an apocalyptic number.

It is an amenable number.

79937 is a deficient number, since it is larger than the sum of its proper divisors (16687).

79937 is a wasteful number, since it uses less digits than its factorization.

79937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

The product of its digits is 11907, while the sum is 35.

The square root of 79937 is about 282.7313212221. The cubic root of 79937 is about 43.0773800481.

Multiplying 79937 by its sum of digits (35), we get a triangular number (2797795 = T₂₃₆₅).

It can be divided in two parts, 7993 and 7, that added together give a cube (8000 = 20³).

The spelling of 79937 in words is "seventy-nine thousand, nine hundred thirty-seven".