165793116 has 96 divisors (see below), whose sum is σ = 416404800. Its totient is φ = 51251200.

The previous prime is 165793093. The next prime is 165793139. The reversal of 165793116 is 611397561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (165793093) and next prime (165793139).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1641466 + ... + 1641566.

It is an arithmetic number, because the mean of its divisors is an integer number (4337550).

Almost surely, 2^165793116 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 165793116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208202400).

165793116 is an abundant number, since it is smaller than the sum of its proper divisors (250611684).

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

165793116 is a wasteful number, since it uses less digits than its factorization.

165793116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 277 counting only the distinct ones).

The product of its digits is 34020, while the sum is 39.

The square root of 165793116 is about 12876.0675673903. The cubic root of 165793116 is about 549.3580565441.

The spelling of 165793116 in words is "one hundred sixty-five million, seven hundred ninety-three thousand, one hundred sixteen".