85167 has 6 divisors (see below), whose sum is σ = 123032. Its totient is φ = 56772.

The previous prime is 85159. The next prime is 85193. The reversal of 85167 is 76158.

It is not a de Polignac number, because 85167 - 2³ = 85159 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4723 + ... + 4740.

2⁸⁵¹⁶⁷ is an apocalyptic number.

85167 is a deficient number, since it is larger than the sum of its proper divisors (37865).

85167 is a wasteful number, since it uses less digits than its factorization.

85167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9466 counting only the distinct ones).

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

The square root of 85167 is about 291.8338568432. The cubic root of 85167 is about 43.9970728080.

Subtracting from 85167 its reverse (76158), we obtain a palindrome (9009).

It can be divided in two parts, 85 and 167, that added together give a palindrome (252).

The spelling of 85167 in words is "eighty-five thousand, one hundred sixty-seven".