393006413 has 2 divisors, whose sum is σ = 393006414. Its totient is φ = 393006412.

The previous prime is 393006403. The next prime is 393006421. The reversal of 393006413 is 314600393.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 329676649 + 63329764 = 18157^2 + 7958^2 .

It is an emirp because it is prime and its reverse (314600393) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 393006413 - 2²⁰ = 391957837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (393006403) 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, 196503206 + 196503207.

It is an arithmetic number, because the mean of its divisors is an integer number (196503207).

Almost surely, 2^393006413 is an apocalyptic number.

It is an amenable number.

393006413 is a deficient number, since it is larger than the sum of its proper divisors (1).

393006413 is an equidigital number, since it uses as much as digits as its factorization.

393006413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 393006413 is about 19824.3893474679. The cubic root of 393006413 is about 732.4869286768.

The spelling of 393006413 in words is "three hundred ninety-three million, six thousand, four hundred thirteen".