825825 has 72 divisors (see below), whose sum is σ = 1847104. Its totient is φ = 316800.

The previous prime is 825821. The next prime is 825827. The reversal of 825825 is 528528.

825825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825825 - 2² = 825821 is a prime.

825825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 825792 and 825801.

It is not an unprimeable number, because it can be changed into a prime (825821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63519 + ... + 63531.

2⁸²⁵⁸²⁵ is an apocalyptic number.

825825 is the 525-th octagonal number.

It is an amenable number.

825825 is an abundant number, since it is smaller than the sum of its proper divisors (1021279).

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

825825 is a wasteful number, since it uses less digits than its factorization.

825825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 39 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 825825 is about 908.7491403022. The cubic root of 825825 is about 93.8201253107.

Multiplying 825825 by its reverse (528528), we get a square (436471635600 = 660660²).

The spelling of 825825 in words is "eight hundred twenty-five thousand, eight hundred twenty-five".