165584972 has 24 divisors (see below), whose sum is σ = 331554720. Its totient is φ = 70882560.

The previous prime is 165584957. The next prime is 165584987. The reversal of 165584972 is 279485561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165584957) and next prime (165584987).

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, 25322 + ... + 31182.

It is an arithmetic number, because the mean of its divisors is an integer number (13814780).

Almost surely, 2^165584972 is an apocalyptic number.

It is an amenable number.

165584972 is an abundant number, since it is smaller than the sum of its proper divisors (165969748).

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

165584972 is a wasteful number, since it uses less digits than its factorization.

165584972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881 (or 6879 counting only the distinct ones).

The product of its digits is 604800, while the sum is 47.

The square root of 165584972 is about 12867.9824370412. The cubic root of 165584972 is about 549.1280641475.

The spelling of 165584972 in words is "one hundred sixty-five million, five hundred eighty-four thousand, nine hundred seventy-two".