825204 has 12 divisors (see below), whose sum is σ = 1925504. Its totient is φ = 275064.

The previous prime is 825203. The next prime is 825229. The reversal of 825204 is 402528.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825203) by changing a digit.

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, 34372 + ... + 34395.

2⁸²⁵²⁰⁴ is an apocalyptic number.

It is an amenable number.

825204 is an abundant number, since it is smaller than the sum of its proper divisors (1100300).

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

825204 is a wasteful number, since it uses less digits than its factorization.

825204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68774 (or 68772 counting only the distinct ones).

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

The square root of 825204 is about 908.4073975921. The cubic root of 825204 is about 93.7966026080.

The spelling of 825204 in words is "eight hundred twenty-five thousand, two hundred four".