85685517 has 24 divisors (see below), whose sum is σ = 128676600. Its totient is φ = 54878208.

The previous prime is 85685513. The next prime is 85685521. The reversal of 85685517 is 71558658.

85685517 is a `hidden beast` number, since 8 + 56 + 85 + 517 = 666.

It is an interprime number because it is at equal distance from previous prime (85685513) and next prime (85685521).

It can be written as a sum of positive squares in 4 ways, for example, as 695556 + 84989961 = 834^2 + 9219^2 .

It is not a de Polignac number, because 85685517 - 2² = 85685513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85685513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60109 + ... + 61517.

It is an arithmetic number, because the mean of its divisors is an integer number (5361525).

Almost surely, 2^85685517 is an apocalyptic number.

85685517 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

85685517 is a deficient number, since it is larger than the sum of its proper divisors (42991083).

85685517 is a wasteful number, since it uses less digits than its factorization.

85685517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1674 counting only the distinct ones).

The product of its digits is 336000, while the sum is 45.

The square root of 85685517 is about 9256.6471791897. The cubic root of 85685517 is about 440.8618043853.

The spelling of 85685517 in words is "eighty-five million, six hundred eighty-five thousand, five hundred seventeen".