8209825 has 12 divisors (see below), whose sum is σ = 10963708. Its totient is φ = 6062400.

The previous prime is 8209787. The next prime is 8209829. The reversal of 8209825 is 5289028.

8209825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2217121 + 5992704 = 1489^2 + 2448^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8209825 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8209829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12306 + ... + 12955.

Almost surely, 2^8209825 is an apocalyptic number.

It is an amenable number.

8209825 is a deficient number, since it is larger than the sum of its proper divisors (2753883).

8209825 is a wasteful number, since it uses less digits than its factorization.

8209825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25284 (or 25279 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 8209825 is about 2865.2792185056. The cubic root of 8209825 is about 201.7334736049.

The spelling of 8209825 in words is "eight million, two hundred nine thousand, eight hundred twenty-five".