972164 has 12 divisors (see below), whose sum is σ = 1775424. Its totient is φ = 464904.

The previous prime is 972163. The next prime is 972197. The reversal of 972164 is 461279.

972164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972164.

It is not an unprimeable number, because it can be changed into a prime (972161) 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, 5192 + ... + 5375.

It is an arithmetic number, because the mean of its divisors is an integer number (147952).

2⁹⁷²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

972164 is a deficient number, since it is larger than the sum of its proper divisors (803260).

972164 is a wasteful number, since it uses less digits than its factorization.

972164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10594 (or 10592 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 972164 is about 985.9837726859. The cubic root of 972164 is about 99.0633883065.

The spelling of 972164 in words is "nine hundred seventy-two thousand, one hundred sixty-four".