825504 has 24 divisors (see below), whose sum is σ = 2167200. Its totient is φ = 275136.

The previous prime is 825491. The next prime is 825509. The reversal of 825504 is 405528.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (825509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4204 + ... + 4395.

It is an arithmetic number, because the mean of its divisors is an integer number (90300).

2⁸²⁵⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

825504 is an abundant number, since it is smaller than the sum of its proper divisors (1341696).

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

825504 is a wasteful number, since it uses less digits than its factorization.

825504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 825504 is about 908.5725067379. The cubic root of 825504 is about 93.8079677054.

Adding to 825504 its sum of digits (24), we get a palindrome (825528).

The spelling of 825504 in words is "eight hundred twenty-five thousand, five hundred four".