393984013 has 2 divisors, whose sum is σ = 393984014. Its totient is φ = 393984012.

The previous prime is 393983999. The next prime is 393984037. The reversal of 393984013 is 310489393.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 386790889 + 7193124 = 19667^2 + 2682^2 .

It is a cyclic number.

It is not a de Polignac number, because 393984013 - 2²⁵ = 360429581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (393984113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196992006 + 196992007.

It is an arithmetic number, because the mean of its divisors is an integer number (196992007).

Almost surely, 2^393984013 is an apocalyptic number.

It is an amenable number.

393984013 is a deficient number, since it is larger than the sum of its proper divisors (1).

393984013 is an equidigital number, since it uses as much as digits as its factorization.

393984013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 393984013 is about 19849.0305304818. The cubic root of 393984013 is about 733.0937773779.

The spelling of 393984013 in words is "three hundred ninety-three million, nine hundred eighty-four thousand, thirteen".