85984171 has 24 divisors (see below), whose sum is σ = 108304560. Its totient is φ = 67660992.

The previous prime is 85984163. The next prime is 85984183. The reversal of 85984171 is 17148958.

It is a happy number.

It is not a de Polignac number, because 85984171 - 2³ = 85984163 is a prime.

It is a super-4 number, since 4×85984171⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (85984121) 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, 220845 + ... + 221233.

It is an arithmetic number, because the mean of its divisors is an integer number (4512690).

Almost surely, 2^85984171 is an apocalyptic number.

85984171 is a deficient number, since it is larger than the sum of its proper divisors (22320389).

85984171 is a wasteful number, since it uses less digits than its factorization.

85984171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 756 counting only the distinct ones).

The product of its digits is 80640, while the sum is 43.

The square root of 85984171 is about 9272.7650137378. The cubic root of 85984171 is about 441.3734134645.

It can be divided in two parts, 8598 and 4171, that added together give a square (12769 = 113²).

The spelling of 85984171 in words is "eighty-five million, nine hundred eighty-four thousand, one hundred seventy-one".