8688013 has 2 divisors, whose sum is σ = 8688014. Its totient is φ = 8688012.

The previous prime is 8688011. The next prime is 8688059. The reversal of 8688013 is 3108868.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8631844 + 56169 = 2938^2 + 237^2 .

It is a cyclic number.

It is not a de Polignac number, because 8688013 - 2¹ = 8688011 is a prime.

Together with 8688011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 8688013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8688011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4344006 + 4344007.

It is an arithmetic number, because the mean of its divisors is an integer number (4344007).

Almost surely, 2^8688013 is an apocalyptic number.

It is an amenable number.

8688013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8688013 is an equidigital number, since it uses as much as digits as its factorization.

8688013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 8688013 is about 2947.5435535374. The cubic root of 8688013 is about 205.5765092619.

The spelling of 8688013 in words is "eight million, six hundred eighty-eight thousand, thirteen".