86067 has 12 divisors (see below), whose sum is σ = 126984. Its totient is φ = 56160.

The previous prime is 86029. The next prime is 86069. The reversal of 86067 is 76068.

It is not a de Polignac number, because 86067 - 2¹² = 81971 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 86067.

It is not an unprimeable number, because it can be changed into a prime (86069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592 + ... + 722.

It is an arithmetic number, because the mean of its divisors is an integer number (10582).

2⁸⁶⁰⁶⁷ is an apocalyptic number.

86067 is a deficient number, since it is larger than the sum of its proper divisors (40917).

86067 is a wasteful number, since it uses less digits than its factorization.

86067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 86067 is about 293.3717777838. The cubic root of 86067 is about 44.1515093750.

Subtracting from 86067 its reverse (76068), we obtain a palindrome (9999).

The spelling of 86067 in words is "eighty-six thousand, sixty-seven".