382705313 has 2 divisors, whose sum is σ = 382705314. Its totient is φ = 382705312.

The previous prime is 382705307. The next prime is 382705339. The reversal of 382705313 is 313507283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333537169 + 49168144 = 18263^2 + 7012^2 .

It is a cyclic number.

It is not a de Polignac number, because 382705313 - 2⁶ = 382705249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 382705313.

It is not a weakly prime, because it can be changed into another prime (382704313) 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, 191352656 + 191352657.

It is an arithmetic number, because the mean of its divisors is an integer number (191352657).

Almost surely, 2^382705313 is an apocalyptic number.

It is an amenable number.

382705313 is a deficient number, since it is larger than the sum of its proper divisors (1).

382705313 is an equidigital number, since it uses as much as digits as its factorization.

382705313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 382705313 is about 19562.8554408604. The cubic root of 382705313 is about 726.0304415186.

The spelling of 382705313 in words is "three hundred eighty-two million, seven hundred five thousand, three hundred thirteen".