825792 has 112 divisors (see below), whose sum is σ = 2633472. Its totient is φ = 225280.

The previous prime is 825791. The next prime is 825821. The reversal of 825792 is 297528.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

Its product of digits (10080) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35893 + ... + 35915.

2⁸²⁵⁷⁹² 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 825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316736).

825792 is an abundant number, since it is smaller than the sum of its proper divisors (1807680).

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

825792 is a wasteful number, since it uses less digits than its factorization.

825792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 825792 is about 908.7309832948. The cubic root of 825792 is about 93.8188756088.

The spelling of 825792 in words is "eight hundred twenty-five thousand, seven hundred ninety-two".