164691585 has 12 divisors (see below), whose sum is σ = 285465492. Its totient is φ = 87835488.

The previous prime is 164691581. The next prime is 164691641. The reversal of 164691585 is 585196461.

164691585 is a `hidden beast` number, since 1 + 6 + 4 + 69 + 1 + 585 = 666.

164691585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18378369 + 146313216 = 4287^2 + 12096^2 .

It is not a de Polignac number, because 164691585 - 2² = 164691581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3659813 = 164691585 / (1 + 6 + 4 + 6 + 9 + 1 + 5 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 164691585.

It is not an unprimeable number, because it can be changed into a prime (164691581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1829862 + ... + 1829951.

It is an arithmetic number, because the mean of its divisors is an integer number (23788791).

Almost surely, 2^164691585 is an apocalyptic number.

164691585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164691585 is a deficient number, since it is larger than the sum of its proper divisors (120773907).

164691585 is a wasteful number, since it uses less digits than its factorization.

164691585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659824 (or 3659821 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 164691585 is about 12833.2219259234. The cubic root of 164691585 is about 548.1387054097.

The spelling of 164691585 in words is "one hundred sixty-four million, six hundred ninety-one thousand, five hundred eighty-five".