8008313 has 2 divisors, whose sum is σ = 8008314. Its totient is φ = 8008312.

The previous prime is 8008289. The next prime is 8008327. The reversal of 8008313 is 3138008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7991929 + 16384 = 2827^2 + 128^2 .

It is a cyclic number.

It is not a de Polignac number, because 8008313 - 2⁶ = 8008249 is a prime.

It is not a weakly prime, because it can be changed into another prime (8008373) 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, 4004156 + 4004157.

It is an arithmetic number, because the mean of its divisors is an integer number (4004157).

Almost surely, 2^8008313 is an apocalyptic number.

It is an amenable number.

8008313 is a deficient number, since it is larger than the sum of its proper divisors (1).

8008313 is an equidigital number, since it uses as much as digits as its factorization.

8008313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 8008313 is about 2829.8962878523. The cubic root of 8008313 is about 200.0692510187.

The spelling of 8008313 in words is "eight million, eight thousand, three hundred thirteen".