85385392317 has 12 divisors (see below), whose sum is σ = 127587368220. Its totient is φ = 54960712128.

The previous prime is 85385392297. The next prime is 85385392321. The reversal of 85385392317 is 71329358358.

85385392317 is a `hidden beast` number, since 8 + 538 + 5 + 3 + 92 + 3 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51143370201 + 34242022116 = 226149^2 + 185046^2 .

It is not a de Polignac number, because 85385392317 - 2¹⁹ = 85384868029 is a prime.

It is a super-2 number, since 2×85385392317² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85385392387) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163573288 + ... + 163573809.

It is an arithmetic number, because the mean of its divisors is an integer number (10632280685).

Almost surely, 2^85385392317 is an apocalyptic number.

85385392317 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85385392317 is a deficient number, since it is larger than the sum of its proper divisors (42201975903).

85385392317 is a wasteful number, since it uses less digits than its factorization.

85385392317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327147132 (or 327147129 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 85385392317 in words is "eighty-five billion, three hundred eighty-five million, three hundred ninety-two thousand, three hundred seventeen".