85967 has 4 divisors (see below), whose sum is σ = 98256. Its totient is φ = 73680.

The previous prime is 85933. The next prime is 85991. The reversal of 85967 is 76958.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 85967 - 2⁶ = 85903 is a prime.

It is a d-powerful number, because it can be written as 8 + 5⁷ + 9 + 6⁵ + 7² .

It is a Duffinian 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 85967.

It is not an unprimeable number, because it can be changed into a prime (85667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6134 + ... + 6147.

It is an arithmetic number, because the mean of its divisors is an integer number (24564).

2⁸⁵⁹⁶⁷ is an apocalyptic number.

85967 is a deficient number, since it is larger than the sum of its proper divisors (12289).

85967 is a wasteful number, since it uses less digits than its factorization.

85967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12288.

The product of its digits is 15120, while the sum is 35.

The square root of 85967 is about 293.2012960408. The cubic root of 85967 is about 44.1344030818.

Subtracting from 85967 its reverse (76958), we obtain a palindrome (9009).

The spelling of 85967 in words is "eighty-five thousand, nine hundred sixty-seven".