385115417 has 2 divisors, whose sum is σ = 385115418. Its totient is φ = 385115416.

The previous prime is 385115377. The next prime is 385115429. The reversal of 385115417 is 714511583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359064601 + 26050816 = 18949^2 + 5104^2 .

It is a cyclic number.

It is not a de Polignac number, because 385115417 - 2¹⁰ = 385114393 is a prime.

It is a super-2 number, since 2×385115417² = 296627768822167778, which contains 22 as substring.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (385115477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 192557708 + 192557709.

It is an arithmetic number, because the mean of its divisors is an integer number (192557709).

Almost surely, 2^385115417 is an apocalyptic number.

It is an amenable number.

385115417 is a deficient number, since it is larger than the sum of its proper divisors (1).

385115417 is an equidigital number, since it uses as much as digits as its factorization.

385115417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16800, while the sum is 35.

The square root of 385115417 is about 19624.3577474525. The cubic root of 385115417 is about 727.5513232018.

The spelling of 385115417 in words is "three hundred eighty-five million, one hundred fifteen thousand, four hundred seventeen".