338986313 has 2 divisors, whose sum is σ = 338986314. Its totient is φ = 338986312.

The previous prime is 338986289. The next prime is 338986321. The reversal of 338986313 is 313689833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 226562704 + 112423609 = 15052^2 + 10603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-338986313 is a prime.

It is a super-2 number, since 2×338986313² = 229823440802667938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (338986343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169493156 + 169493157.

It is an arithmetic number, because the mean of its divisors is an integer number (169493157).

Almost surely, 2^338986313 is an apocalyptic number.

It is an amenable number.

338986313 is a deficient number, since it is larger than the sum of its proper divisors (1).

338986313 is an equidigital number, since it uses as much as digits as its factorization.

338986313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 279936, while the sum is 44.

The square root of 338986313 is about 18411.5809478708. The cubic root of 338986313 is about 697.2588807847.

The spelling of 338986313 in words is "three hundred thirty-eight million, nine hundred eighty-six thousand, three hundred thirteen".