393393313 has 2 divisors, whose sum is σ = 393393314. Its totient is φ = 393393312.

The previous prime is 393393307. The next prime is 393393353. The reversal of 393393313 is 313393393.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 392515344 + 877969 = 19812^2 + 937^2 .

It is an emirp because it is prime and its reverse (313393393) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 393393313 - 2¹³ = 393385121 is a prime.

It is not a weakly prime, because it can be changed into another prime (393393353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 196696656 + 196696657.

It is an arithmetic number, because the mean of its divisors is an integer number (196696657).

Almost surely, 2^393393313 is an apocalyptic number.

It is an amenable number.

393393313 is a deficient number, since it is larger than the sum of its proper divisors (1).

393393313 is an equidigital number, since it uses as much as digits as its factorization.

393393313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 59049, while the sum is 37.

The square root of 393393313 is about 19834.1451290445. The cubic root of 393393313 is about 732.7272184325.

The spelling of 393393313 in words is "three hundred ninety-three million, three hundred ninety-three thousand, three hundred thirteen".