165050964 has 72 divisors (see below), whose sum is σ = 453426792. Its totient is φ = 50319360.

The previous prime is 165050959. The next prime is 165050971. The reversal of 165050964 is 469050561.

It can be written as a sum of positive squares in 4 ways, for example, as 39162564 + 125888400 = 6258^2 + 11220^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51324 + ... + 54444.

Almost surely, 2^165050964 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 165050964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226713396).

165050964 is an abundant number, since it is smaller than the sum of its proper divisors (288375828).

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

165050964 is a wasteful number, since it uses less digits than its factorization.

165050964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 165050964 is about 12847.2161965151. The cubic root of 165050964 is about 548.5371196688.

The spelling of 165050964 in words is "one hundred sixty-five million, fifty thousand, nine hundred sixty-four".