165984315 has 24 divisors (see below), whose sum is σ = 308935440. Its totient is φ = 75878208.

The previous prime is 165984289. The next prime is 165984317. The reversal of 165984315 is 513489561.

It is not a de Polignac number, because 165984315 - 2⁵ = 165984283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165984317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112180 + ... + 113649.

It is an arithmetic number, because the mean of its divisors is an integer number (12872310).

Almost surely, 2^165984315 is an apocalyptic number.

165984315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165984315 is a deficient number, since it is larger than the sum of its proper divisors (142951125).

165984315 is a wasteful number, since it uses less digits than its factorization.

165984315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225851 (or 225844 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 165984315 is about 12883.4900162961. The cubic root of 165984315 is about 549.5691556978.

The spelling of 165984315 in words is "one hundred sixty-five million, nine hundred eighty-four thousand, three hundred fifteen".