8002985 has 16 divisors (see below), whose sum is σ = 10054800. Its totient is φ = 6107136.

The previous prime is 8002961. The next prime is 8002987. The reversal of 8002985 is 5892008.

It can be written as a sum of positive squares in 8 ways, for example, as 561001 + 7441984 = 749^2 + 2728^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8002985 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8002987) 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 15 ways as a sum of consecutive naturals, for example, 13781 + ... + 14349.

It is an arithmetic number, because the mean of its divisors is an integer number (628425).

Almost surely, 2^8002985 is an apocalyptic number.

It is an amenable number.

8002985 is a deficient number, since it is larger than the sum of its proper divisors (2051815).

8002985 is a wasteful number, since it uses less digits than its factorization.

8002985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 8002985 is about 2828.9547539683. The cubic root of 8002985 is about 200.0248719068.

The spelling of 8002985 in words is "eight million, two thousand, nine hundred eighty-five".