85217771 has 16 divisors (see below), whose sum is σ = 90105600. Its totient is φ = 80504928.

The previous prime is 85217749. The next prime is 85217777. The reversal of 85217771 is 17771258.

It is a cyclic number.

It is not a de Polignac number, because 85217771 - 2²⁶ = 18108907 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85217777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224660 + ... + 225038.

It is an arithmetic number, because the mean of its divisors is an integer number (5631600).

Almost surely, 2^85217771 is an apocalyptic number.

85217771 is a deficient number, since it is larger than the sum of its proper divisors (4887829).

85217771 is a wasteful number, since it uses less digits than its factorization.

85217771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its digits is 27440, while the sum is 38.

The square root of 85217771 is about 9231.3471931241. The cubic root of 85217771 is about 440.0581379789.

The spelling of 85217771 in words is "eighty-five million, two hundred seventeen thousand, seven hundred seventy-one".