85417871 has 16 divisors (see below), whose sum is σ = 106960128. Its totient is φ = 66268800.

The previous prime is 85417853. The next prime is 85417889. The reversal of 85417871 is 17871458.

It is an interprime number because it is at equal distance from previous prime (85417853) and next prime (85417889).

It is a cyclic number.

It is not a de Polignac number, because 85417871 - 2¹⁴ = 85401487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85417841) 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 in 15 ways as a sum of consecutive naturals, for example, 16256 + ... + 20858.

It is an arithmetic number, because the mean of its divisors is an integer number (6685008).

Almost surely, 2^85417871 is an apocalyptic number.

85417871 is a deficient number, since it is larger than the sum of its proper divisors (21542257).

85417871 is a wasteful number, since it uses less digits than its factorization.

85417871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862.

The product of its digits is 62720, while the sum is 41.

The square root of 85417871 is about 9242.1789097593. The cubic root of 85417871 is about 440.4023025076.

The spelling of 85417871 in words is "eighty-five million, four hundred seventeen thousand, eight hundred seventy-one".