163792 has 20 divisors (see below), whose sum is σ = 329220. Its totient is φ = 78848.

The previous prime is 163789. The next prime is 163811. The reversal of 163792 is 297361.

It can be written as a sum of positive squares in 2 ways, for example, as 76176 + 87616 = 276^2 + 296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 163792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (16461).

2¹⁶³⁷⁹² 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 163792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164610).

163792 is an abundant number, since it is smaller than the sum of its proper divisors (165428).

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

163792 is a wasteful number, since it uses less digits than its factorization.

163792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its digits is 2268, while the sum is 28.

The square root of 163792 is about 404.7122434521. The cubic root of 163792 is about 54.7138860969.

The spelling of 163792 in words is "one hundred sixty-three thousand, seven hundred ninety-two".