164013575 has 24 divisors (see below), whose sum is σ = 231520896. Its totient is φ = 114092000.

The previous prime is 164013547. The next prime is 164013607. The reversal of 164013575 is 575310461.

It is not a de Polignac number, because 164013575 - 2⁸ = 164013319 is a prime.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6641 + ... + 19290.

It is an arithmetic number, because the mean of its divisors is an integer number (9646704).

Almost surely, 2^164013575 is an apocalyptic number.

164013575 is a deficient number, since it is larger than the sum of its proper divisors (67507321).

164013575 is a wasteful number, since it uses less digits than its factorization.

164013575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25975 (or 25970 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 164013575 is about 12806.7784786026. The cubic root of 164013575 is about 547.3854698126.

The spelling of 164013575 in words is "one hundred sixty-four million, thirteen thousand, five hundred seventy-five".