395107117 has 2 divisors, whose sum is σ = 395107118. Its totient is φ = 395107116.

The previous prime is 395107079. The next prime is 395107157. The reversal of 395107117 is 711701593.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333939076 + 61168041 = 18274^2 + 7821^2 .

It is a cyclic number.

It is not a de Polignac number, because 395107117 - 2²⁷ = 260889389 is a prime.

It is a super-2 number, since 2×395107117² = 312219267808103378, which contains 22 as substring.

It is equal to p_21089239 and since 395107117 and 21089239 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (395107157) 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, 197553558 + 197553559.

It is an arithmetic number, because the mean of its divisors is an integer number (197553559).

Almost surely, 2^395107117 is an apocalyptic number.

It is an amenable number.

395107117 is a deficient number, since it is larger than the sum of its proper divisors (1).

395107117 is an equidigital number, since it uses as much as digits as its factorization.

395107117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6615, while the sum is 34.

The square root of 395107117 is about 19877.3015522731. The cubic root of 395107117 is about 733.7897103903.

The spelling of 395107117 in words is "three hundred ninety-five million, one hundred seven thousand, one hundred seventeen".