164131565 has 32 divisors (see below), whose sum is σ = 223727616. Its totient is φ = 114681600.

The previous prime is 164131553. The next prime is 164131573. The reversal of 164131565 is 565131461.

It is not a de Polignac number, because 164131565 - 2⁸ = 164131309 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150452 + ... + 151538.

It is an arithmetic number, because the mean of its divisors is an integer number (6991488).

Almost surely, 2^164131565 is an apocalyptic number.

It is an amenable number.

164131565 is a deficient number, since it is larger than the sum of its proper divisors (59596051).

164131565 is a wasteful number, since it uses less digits than its factorization.

164131565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229.

The product of its digits is 10800, while the sum is 32.

The square root of 164131565 is about 12811.3841953163. The cubic root of 164131565 is about 547.5166998652.

The spelling of 164131565 in words is "one hundred sixty-four million, one hundred thirty-one thousand, five hundred sixty-five".