165404916 has 60 divisors (see below), whose sum is σ = 439542180. Its totient is φ = 54224640.

The previous prime is 165404909. The next prime is 165404957. The reversal of 165404916 is 619404561.

165404916 is a `hidden beast` number, since 165 + 4 + 0 + 491 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52620516 + 112784400 = 7254^2 + 10620^2 .

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 19 ways as a sum of consecutive naturals, for example, 15580 + ... + 23948.

It is an arithmetic number, because the mean of its divisors is an integer number (7325703).

Almost surely, 2^165404916 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 165404916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219771090).

165404916 is an abundant number, since it is smaller than the sum of its proper divisors (274137264).

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

165404916 is a wasteful number, since it uses less digits than its factorization.

165404916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 165404916 is about 12860.9842547139. The cubic root of 165404916 is about 548.9289525546.

The spelling of 165404916 in words is "one hundred sixty-five million, four hundred four thousand, nine hundred sixteen".