165164585 has 8 divisors (see below), whose sum is σ = 198399240. Its totient is φ = 131997184.

The previous prime is 165164579. The next prime is 165164609. The reversal of 165164585 is 585461561.

It can be written as a sum of positive squares in 4 ways, for example, as 196249 + 164968336 = 443^2 + 12844^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165164585 - 2⁶ = 165164521 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 11240 + ... + 21369.

It is an arithmetic number, because the mean of its divisors is an integer number (24799905).

Almost surely, 2^165164585 is an apocalyptic number.

It is an amenable number.

165164585 is a deficient number, since it is larger than the sum of its proper divisors (33234655).

165164585 is a wasteful number, since it uses less digits than its factorization.

165164585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33627.

The product of its digits is 144000, while the sum is 41.

The square root of 165164585 is about 12851.6374443104. The cubic root of 165164585 is about 548.6629616885.

The spelling of 165164585 in words is "one hundred sixty-five million, one hundred sixty-four thousand, five hundred eighty-five".