85671 has 16 divisors (see below), whose sum is σ = 134400. Its totient is φ = 53784.

The previous prime is 85669. The next prime is 85691. The reversal of 85671 is 17658.

It is not a de Polignac number, because 85671 - 2¹ = 85669 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

85671 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85671.

It is not an unprimeable number, because it can be changed into a prime (85601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430 + ... + 596.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2⁸⁵⁶⁷¹ is an apocalyptic number.

85671 is a deficient number, since it is larger than the sum of its proper divisors (48729).

85671 is a wasteful number, since it uses less digits than its factorization.

85671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 85671 is about 292.6960881187. The cubic root of 85671 is about 44.0836905770.

The spelling of 85671 in words is "eighty-five thousand, six hundred seventy-one".