8007001 has 2 divisors, whose sum is σ = 8007002. Its totient is φ = 8007000.

The previous prime is 8006989. The next prime is 8007011. The reversal of 8007001 is 1007008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5760000 + 2247001 = 2400^2 + 1499^2 .

It is a cyclic number.

It is not a de Polignac number, because 8007001 - 2¹⁵ = 7974233 is a prime.

It is a super-2 number, since 2×8007001² = 128224130028002, which contains 22 as substring.

8007001 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (8007011) 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 as a sum of consecutive naturals, namely, 4003500 + 4003501.

It is an arithmetic number, because the mean of its divisors is an integer number (4003501).

Almost surely, 2^8007001 is an apocalyptic number.

It is an amenable number.

8007001 is a deficient number, since it is larger than the sum of its proper divisors (1).

8007001 is an equidigital number, since it uses as much as digits as its factorization.

8007001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 8007001 is about 2829.6644677417. The cubic root of 8007001 is about 200.0583246562.

The spelling of 8007001 in words is "eight million, seven thousand, one".