164818971 has 24 divisors (see below), whose sum is σ = 248227200. Its totient is φ = 105264000.

The previous prime is 164818967. The next prime is 164818981. The reversal of 164818971 is 179818461.

It is a happy number.

164818971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164818971 - 2² = 164818967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164818931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25255 + ... + 31103.

It is an arithmetic number, because the mean of its divisors is an integer number (10342800).

Almost surely, 2^164818971 is an apocalyptic number.

164818971 is a deficient number, since it is larger than the sum of its proper divisors (83408229).

164818971 is a wasteful number, since it uses less digits than its factorization.

164818971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5984 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 164818971 is about 12838.1841005650. The cubic root of 164818971 is about 548.2799941546.

It can be divided in two parts, 16481 and 8971, that added together give a palindrome (25452).

The spelling of 164818971 in words is "one hundred sixty-four million, eight hundred eighteen thousand, nine hundred seventy-one".