85851171 has 48 divisors (see below), whose sum is σ = 150678528. Its totient is φ = 47822400.

The previous prime is 85851169. The next prime is 85851191. The reversal of 85851171 is 17115858.

It is a happy number.

85851171 is a `hidden beast` number, since 8 + 585 + 1 + 1 + 71 = 666.

It is not a de Polignac number, because 85851171 - 2¹ = 85851169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85851131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69126 + ... + 70356.

It is an arithmetic number, because the mean of its divisors is an integer number (3139136).

Almost surely, 2^85851171 is an apocalyptic number.

85851171 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

85851171 is a deficient number, since it is larger than the sum of its proper divisors (64827357).

85851171 is a wasteful number, since it uses less digits than its factorization.

85851171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1282 counting only the distinct ones).

The product of its digits is 11200, while the sum is 36.

The square root of 85851171 is about 9265.5906989247. The cubic root of 85851171 is about 441.1457244361.

The spelling of 85851171 in words is "eighty-five million, eight hundred fifty-one thousand, one hundred seventy-one".