165585112 has 72 divisors (see below), whose sum is σ = 397092780. Its totient is φ = 64495200.

The previous prime is 165585109. The next prime is 165585113. The reversal of 165585112 is 211585561.

165585112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165585113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45687 + ... + 49177.

Almost surely, 2^165585112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165585112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198546390).

165585112 is an abundant number, since it is smaller than the sum of its proper divisors (231507668).

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

165585112 is a wasteful number, since it uses less digits than its factorization.

165585112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3511 counting only the distinct ones).

The product of its digits is 12000, while the sum is 34.

The square root of 165585112 is about 12867.9878768982. The cubic root of 165585112 is about 549.1282189078.

The spelling of 165585112 in words is "one hundred sixty-five million, five hundred eighty-five thousand, one hundred twelve".