164493585 has 40 divisors (see below), whose sum is σ = 307707840. Its totient is φ = 83910816.

The previous prime is 164493551. The next prime is 164493587. The reversal of 164493585 is 585394461.

164493585 is a `hidden beast` number, since 1 + 64 + 4 + 9 + 3 + 585 = 666.

It is not a de Polignac number, because 164493585 - 2⁹ = 164493073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 164493585.

It is not an unprimeable number, because it can be changed into a prime (164493587) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 486 + ... + 18144.

It is an arithmetic number, because the mean of its divisors is an integer number (7692696).

Almost surely, 2^164493585 is an apocalyptic number.

164493585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164493585 is a deficient number, since it is larger than the sum of its proper divisors (143214255).

164493585 is a wasteful number, since it uses less digits than its factorization.

164493585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17699 (or 17690 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 164493585 is about 12825.5052532054. The cubic root of 164493585 is about 547.9189512419.

The spelling of 164493585 in words is "one hundred sixty-four million, four hundred ninety-three thousand, five hundred eighty-five".