385013417 has 2 divisors, whose sum is σ = 385013418. Its totient is φ = 385013416.

The previous prime is 385013393. The next prime is 385013437. The reversal of 385013417 is 714310583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 366186496 + 18826921 = 19136^2 + 4339^2 .

It is a cyclic number.

It is not a de Polignac number, because 385013417 - 2¹⁰ = 385012393 is a prime.

It is not a weakly prime, because it can be changed into another prime (385013437) 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, 192506708 + 192506709.

It is an arithmetic number, because the mean of its divisors is an integer number (192506709).

Almost surely, 2^385013417 is an apocalyptic number.

It is an amenable number.

385013417 is a deficient number, since it is larger than the sum of its proper divisors (1).

385013417 is an equidigital number, since it uses as much as digits as its factorization.

385013417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 385013417 is about 19621.7587641883. The cubic root of 385013417 is about 727.4870855003.

The spelling of 385013417 in words is "three hundred eighty-five million, thirteen thousand, four hundred seventeen".