165825792 has 180 divisors, whose sum is σ = 540155616. Its totient is φ = 50181120.

The previous prime is 165825757. The next prime is 165825809. The reversal of 165825792 is 297528561.

165825792 is a `hidden beast` number, since 16 + 582 + 57 + 9 + 2 = 666.

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, 227733 + ... + 228459.

Almost surely, 2^165825792 is an apocalyptic number.

165825792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270077808).

165825792 is an abundant number, since it is smaller than the sum of its proper divisors (374329824).

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

165825792 is an equidigital number, since it uses as much as digits as its factorization.

165825792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 743 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 165825792 is about 12877.3363705387. The cubic root of 165825792 is about 549.3941449839.

The spelling of 165825792 in words is "one hundred sixty-five million, eight hundred twenty-five thousand, seven hundred ninety-two".