165117792 has 48 divisors (see below), whose sum is σ = 495355392. Its totient is φ = 47176320.

The previous prime is 165117767. The next prime is 165117803. The reversal of 165117792 is 297711561.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 165117792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122184 + ... + 123527.

It is an arithmetic number, because the mean of its divisors is an integer number (10319904).

Almost surely, 2^165117792 is an apocalyptic number.

165117792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

165117792 is an abundant number, since it is smaller than the sum of its proper divisors (330237600).

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

165117792 is a wasteful number, since it uses less digits than its factorization.

165117792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245731 (or 245723 counting only the distinct ones).

The product of its digits is 26460, while the sum is 39.

The square root of 165117792 is about 12849.8168080327. The cubic root of 165117792 is about 548.6111426481.

The spelling of 165117792 in words is "one hundred sixty-five million, one hundred seventeen thousand, seven hundred ninety-two".