79137 has 10 divisors (see below), whose sum is σ = 118338. Its totient is φ = 52704.

The previous prime is 79133. The next prime is 79139. The reversal of 79137 is 73197.

It can be written as a sum of positive squares in only one way, i.e., 77841 + 1296 = 279^2 + 36^2 .

It is not a de Polignac number, because 79137 - 2² = 79133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

79137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 79137.

It is not an unprimeable number, because it can be changed into a prime (79133) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 408 + ... + 569.

2⁷⁹¹³⁷ is an apocalyptic number.

It is an amenable number.

79137 is a deficient number, since it is larger than the sum of its proper divisors (39201).

79137 is an equidigital number, since it uses as much as digits as its factorization.

79137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 980 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 79137 is about 281.3129929456. The cubic root of 79137 is about 42.9331935385.

It can be divided in two parts, 791 and 37, that added together give a palindrome (828).

The spelling of 79137 in words is "seventy-nine thousand, one hundred thirty-seven".