165708585 has 40 divisors (see below), whose sum is σ = 339489216. Its totient is φ = 75751200.

The previous prime is 165708559. The next prime is 165708601. The reversal of 165708585 is 585807561.

165708585 is a `hidden beast` number, since 1 + 65 + 7 + 0 + 8 + 585 = 666.

It is not a de Polignac number, because 165708585 - 2¹⁹ = 165184297 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 165708585.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26391 + ... + 32060.

Almost surely, 2^165708585 is an apocalyptic number.

165708585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165708585 is an abundant number, since it is smaller than the sum of its proper divisors (173780631).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165708585 is an equidigital number, since it uses as much as digits as its factorization.

165708585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58475 (or 58466 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The square root of 165708585 is about 12872.7846637781. The cubic root of 165708585 is about 549.2646757462.

The spelling of 165708585 in words is "one hundred sixty-five million, seven hundred eight thousand, five hundred eighty-five".