165688384 has 21 divisors (see below), whose sum is σ = 328992357. Its totient is φ = 82792704.

The previous prime is 165688373. The next prime is 165688403. The reversal of 165688384 is 483886561.

The square root of 165688384 is 12872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 162001984 + 3686400 = 12728^2 + 1920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 102172 + ... + 103780.

Almost surely, 2^165688384 is an apocalyptic number.

165688384 is the 12872-nd square number.

It is an amenable number.

165688384 is a deficient number, since it is larger than the sum of its proper divisors (163303973).

165688384 is an frugal number, since it uses more digits than its factorization.

165688384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 1611 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

The cubic root of 165688384 is about 549.2423551432.

Multiplying 165688384 by its sum of digits (49), we get a square (8118730816 = 90104²).

The spelling of 165688384 in words is "one hundred sixty-five million, six hundred eighty-eight thousand, three hundred eighty-four".