8002825 has 6 divisors (see below), whose sum is σ = 9923534. Its totient is φ = 6402240.

The previous prime is 8002823. The next prime is 8002829. The reversal of 8002825 is 5282008.

8002825 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 3 ways, for example, as 95481 + 7907344 = 309^2 + 2812^2 .

It is not a de Polignac number, because 8002825 - 2¹ = 8002823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 320113 = 8002825 / (8 + 0 + 0 + 2 + 8 + 2 + 5).

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 8002825.

It is not an unprimeable number, because it can be changed into a prime (8002823) 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 5 ways as a sum of consecutive naturals, for example, 160032 + ... + 160081.

Almost surely, 2^8002825 is an apocalyptic number.

It is an amenable number.

8002825 is a deficient number, since it is larger than the sum of its proper divisors (1920709).

8002825 is a wasteful number, since it uses less digits than its factorization.

8002825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320123 (or 320118 counting only the distinct ones).

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

The square root of 8002825 is about 2828.9264748310. The cubic root of 8002825 is about 200.0235388962.

The spelling of 8002825 in words is "eight million, two thousand, eight hundred twenty-five".