825024 has 28 divisors (see below), whose sum is σ = 2183384. Its totient is φ = 274944.

The previous prime is 825017. The next prime is 825029. The reversal of 825024 is 420528.

It is not an unprimeable number, because it can be changed into a prime (825029) 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, 1957 + ... + 2340.

It is an arithmetic number, because the mean of its divisors is an integer number (77978).

2⁸²⁵⁰²⁴ is an apocalyptic number.

It is an amenable number.

825024 is an abundant number, since it is smaller than the sum of its proper divisors (1358360).

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

825024 is a wasteful number, since it uses less digits than its factorization.

825024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4302 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 825024 is about 908.3083176983. The cubic root of 825024 is about 93.7897822274.

Subtracting from 825024 its reverse (420528), we obtain a square (404496 = 636²).

The spelling of 825024 in words is "eight hundred twenty-five thousand, twenty-four".