8388013 has 2 divisors, whose sum is σ = 8388014. Its totient is φ = 8388012.

The previous prime is 8387999. The next prime is 8388019. The reversal of 8388013 is 3108838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7279204 + 1108809 = 2698^2 + 1053^2 .

It is a cyclic number.

It is not a de Polignac number, because 8388013 - 2⁹ = 8387501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8388019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4194006 + 4194007.

It is an arithmetic number, because the mean of its divisors is an integer number (4194007).

Almost surely, 2^8388013 is an apocalyptic number.

It is an amenable number.

8388013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8388013 is an equidigital number, since it uses as much as digits as its factorization.

8388013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8388013 is about 2896.2066569912. The cubic root of 8388013 is about 203.1825305445.

The spelling of 8388013 in words is "eight million, three hundred eighty-eight thousand, thirteen".