165965328 has 80 divisors (see below), whose sum is σ = 479612160. Its totient is φ = 54946944.

The previous prime is 165965299. The next prime is 165965329. The reversal of 165965328 is 823569561.

165965328 is a `hidden beast` number, since 1 + 6 + 596 + 53 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (165965329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66601 + ... + 69047.

It is an arithmetic number, because the mean of its divisors is an integer number (5995152).

Almost surely, 2^165965328 is an apocalyptic number.

165965328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165965328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239806080).

165965328 is an abundant number, since it is smaller than the sum of its proper divisors (313646832).

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

165965328 is a wasteful number, since it uses less digits than its factorization.

165965328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2621 (or 2609 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 165965328 is about 12882.7531219068. The cubic root of 165965328 is about 549.5481997670.

The spelling of 165965328 in words is "one hundred sixty-five million, nine hundred sixty-five thousand, three hundred twenty-eight".