8200825 has 12 divisors (see below), whose sum is σ = 10221568. Its totient is φ = 6526800.

The previous prime is 8200789. The next prime is 8200847. The reversal of 8200825 is 5280028.

It is not a de Polignac number, because 8200825 - 2¹³ = 8192633 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8200825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4840 + ... + 6310.

Almost surely, 2^8200825 is an apocalyptic number.

It is an amenable number.

8200825 is a deficient number, since it is larger than the sum of its proper divisors (2020743).

8200825 is a wasteful number, since it uses less digits than its factorization.

8200825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 8200825 is about 2863.7082602807. The cubic root of 8200825 is about 201.6597300470.

It can be divided in two parts, 8200 and 825, that added together give a square (9025 = 95²).

The spelling of 8200825 in words is "eight million, two hundred thousand, eight hundred twenty-five".