165517120 has 28 divisors (see below), whose sum is σ = 394138404. Its totient is φ = 66206720.

The previous prime is 165517103. The next prime is 165517147. The reversal of 165517120 is 21715561.

165517120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39538944 + 125978176 = 6288^2 + 11224^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258301 + ... + 258940.

Almost surely, 2^165517120 is an apocalyptic number.

165517120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165517120 is an abundant number, since it is smaller than the sum of its proper divisors (228621284).

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

165517120 is an equidigital number, since it uses as much as digits as its factorization.

165517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517258 (or 517248 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 165517120 is about 12865.3457007575. The cubic root of 165517120 is about 549.0530482259.

The spelling of 165517120 in words is "one hundred sixty-five million, five hundred seventeen thousand, one hundred twenty".