165305984 has 16 divisors (see below), whose sum is σ = 329320770. Its totient is φ = 82652928.

The previous prime is 165305983. The next prime is 165305989. The reversal of 165305984 is 489503561.

It can be written as a sum of positive squares in only one way, i.e., 123832384 + 41473600 = 11128^2 + 6440^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (165305983) by changing a digit.

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 as a sum of consecutive naturals, namely, 645599 + ... + 645854.

Almost surely, 2^165305984 is an apocalyptic number.

It is an amenable number.

165305984 is a deficient number, since it is larger than the sum of its proper divisors (164014786).

165305984 is an equidigital number, since it uses as much as digits as its factorization.

165305984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291467 (or 1291455 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 165305984 is about 12857.1374730147. The cubic root of 165305984 is about 548.8194889197.

The spelling of 165305984 in words is "one hundred sixty-five million, three hundred five thousand, nine hundred eighty-four".