164726163 has 32 divisors (see below), whose sum is σ = 285401600. Its totient is φ = 91935648.

The previous prime is 164726147. The next prime is 164726167. The reversal of 164726163 is 361627461.

It is a happy number.

164726163 is a `hidden beast` number, since 1 + 647 + 2 + 6 + 1 + 6 + 3 = 666.

It is not a de Polignac number, because 164726163 - 2⁴ = 164726147 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164726167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2008 + ... + 18261.

It is an arithmetic number, because the mean of its divisors is an integer number (8918800).

Almost surely, 2^164726163 is an apocalyptic number.

164726163 is a deficient number, since it is larger than the sum of its proper divisors (120675437).

164726163 is a wasteful number, since it uses less digits than its factorization.

164726163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20328 (or 20322 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 164726163 is about 12834.5690617177. The cubic root of 164726163 is about 548.1770644104.

The spelling of 164726163 in words is "one hundred sixty-four million, seven hundred twenty-six thousand, one hundred sixty-three".