8004815 has 32 divisors (see below), whose sum is σ = 12034176. Its totient is φ = 4976640.

The previous prime is 8004803. The next prime is 8004817. The reversal of 8004815 is 5184008.

8004815 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8004815 - 2⁸ = 8004559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 33095 + ... + 33335.

It is an arithmetic number, because the mean of its divisors is an integer number (376068).

Almost surely, 2^8004815 is an apocalyptic number.

8004815 is a deficient number, since it is larger than the sum of its proper divisors (4029361).

8004815 is a wasteful number, since it uses less digits than its factorization.

8004815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339.

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 8004815 is about 2829.2781764966. The cubic root of 8004815 is about 200.0401169526.

The spelling of 8004815 in words is "eight million, four thousand, eight hundred fifteen".