8004085 has 8 divisors (see below), whose sum is σ = 9736920. Its totient is φ = 6315264.

The previous prime is 8004083. The next prime is 8004091. The reversal of 8004085 is 5804008.

It can be written as a sum of positive squares in 4 ways, for example, as 3437316 + 4566769 = 1854^2 + 2137^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8004085 - 2¹ = 8004083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004083) 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 7 ways as a sum of consecutive naturals, for example, 10600 + ... + 11329.

It is an arithmetic number, because the mean of its divisors is an integer number (1217115).

Almost surely, 2^8004085 is an apocalyptic number.

It is an amenable number.

8004085 is a deficient number, since it is larger than the sum of its proper divisors (1732835).

8004085 is a wasteful number, since it uses less digits than its factorization.

8004085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22007.

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

The square root of 8004085 is about 2829.1491653852. The cubic root of 8004085 is about 200.0340358741.

The spelling of 8004085 in words is "eight million, four thousand, eighty-five".