8200013 has 2 divisors, whose sum is σ = 8200014. Its totient is φ = 8200012.

The previous prime is 8200007. The next prime is 8200037. The reversal of 8200013 is 3100028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4251844 + 3948169 = 2062^2 + 1987^2 .

It is a cyclic number.

It is not a de Polignac number, because 8200013 - 2¹² = 8195917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8202013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4100006 + 4100007.

It is an arithmetic number, because the mean of its divisors is an integer number (4100007).

Almost surely, 2^8200013 is an apocalyptic number.

It is an amenable number.

8200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8200013 is an equidigital number, since it uses as much as digits as its factorization.

8200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 8200013 is about 2863.5664825528. The cubic root of 8200013 is about 201.6530740863.

The spelling of 8200013 in words is "eight million, two hundred thousand, thirteen".