79164 has 24 divisors (see below), whose sum is σ = 205520. Its totient is φ = 26352.

The previous prime is 79159. The next prime is 79181. The reversal of 79164 is 46197.

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

It is a congruent number.

It is an unprimeable number.

79164 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 7 ways as a sum of consecutive naturals, for example, 259 + ... + 474.

2⁷⁹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

79164 is an abundant number, since it is smaller than the sum of its proper divisors (126356).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102760).

79164 is a wasteful number, since it uses less digits than its factorization.

79164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 738 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 79164 is about 281.3609781046. The cubic root of 79164 is about 42.9380756392.

It can be divided in two parts, 79 and 164, that added together give a 5-th power (243 = 3⁵).

The spelling of 79164 in words is "seventy-nine thousand, one hundred sixty-four".