85392317 has 2 divisors, whose sum is σ = 85392318. Its totient is φ = 85392316.

The previous prime is 85392311. The next prime is 85392319. The reversal of 85392317 is 71329358.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82101721 + 3290596 = 9061^2 + 1814^2 .

It is a cyclic number.

It is not a de Polignac number, because 85392317 - 2²⁰ = 84343741 is a prime.

It is a super-3 number, since 3×85392317³ (a number of 25 digits) contains 333 as substring.

Together with 85392319, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85392311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42696158 + 42696159.

It is an arithmetic number, because the mean of its divisors is an integer number (42696159).

Almost surely, 2^85392317 is an apocalyptic number.

It is an amenable number.

85392317 is a deficient number, since it is larger than the sum of its proper divisors (1).

85392317 is an equidigital number, since it uses as much as digits as its factorization.

85392317 is an evil number, because the sum of its binary digits is even.

The product of its digits is 45360, while the sum is 38.

The square root of 85392317 is about 9240.7963401430. The cubic root of 85392317 is about 440.3583805400.

The spelling of 85392317 in words is "eighty-five million, three hundred ninety-two thousand, three hundred seventeen".