825952 has 24 divisors (see below), whose sum is σ = 1660176. Its totient is φ = 404352.

The previous prime is 825947. The next prime is 825959. The reversal of 825952 is 259528.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1453 + ... + 1939.

It is an arithmetic number, because the mean of its divisors is an integer number (69174).

2⁸²⁵⁹⁵² 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 825952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830088).

825952 is an abundant number, since it is smaller than the sum of its proper divisors (834224).

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

825952 is a wasteful number, since it uses less digits than its factorization.

825952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 542 counting only the distinct ones).

The product of its digits is 7200, while the sum is 31.

The square root of 825952 is about 908.8190138856. The cubic root of 825952 is about 93.8249344592.

The spelling of 825952 in words is "eight hundred twenty-five thousand, nine hundred fifty-two".