85205417 has 6 divisors (see below), whose sum is σ = 93655674. Its totient is φ = 77459360.

The previous prime is 85205389. The next prime is 85205429. The reversal of 85205417 is 71450258.

It can be written as a sum of positive squares in only one way, i.e., 85174441 + 30976 = 9229^2 + 176^2 .

It is not a de Polignac number, because 85205417 - 2¹⁰ = 85204393 is a prime.

It is a super-2 number, since 2×85205417² = 14519926172287778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85205017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 351968 + ... + 352209.

It is an arithmetic number, because the mean of its divisors is an integer number (15609279).

Almost surely, 2^85205417 is an apocalyptic number.

It is an amenable number.

85205417 is a deficient number, since it is larger than the sum of its proper divisors (8450257).

85205417 is a wasteful number, since it uses less digits than its factorization.

85205417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704199 (or 704188 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 85205417 is about 9230.6780357675. The cubic root of 85205417 is about 440.0368719101.

It can be divided in two parts, 85 and 205417, that added together give a palindrome (205502).

The spelling of 85205417 in words is "eighty-five million, two hundred five thousand, four hundred seventeen".