405313393 has 2 divisors, whose sum is σ = 405313394. Its totient is φ = 405313392.

The previous prime is 405313379. The next prime is 405313397. The reversal of 405313393 is 393313504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240653169 + 164660224 = 15513^2 + 12832^2 .

It is a cyclic number.

It is not a de Polignac number, because 405313393 - 2⁵ = 405313361 is a prime.

It is not a weakly prime, because it can be changed into another prime (405313397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202656696 + 202656697.

It is an arithmetic number, because the mean of its divisors is an integer number (202656697).

Almost surely, 2^405313393 is an apocalyptic number.

It is an amenable number.

405313393 is a deficient number, since it is larger than the sum of its proper divisors (1).

405313393 is an equidigital number, since it uses as much as digits as its factorization.

405313393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 31.

The square root of 405313393 is about 20132.3966034846. The cubic root of 405313393 is about 740.0544110223.

Adding to 405313393 its reverse (393313504), we get a palindrome (798626897).

The spelling of 405313393 in words is "four hundred five million, three hundred thirteen thousand, three hundred ninety-three".