86967 has 8 divisors (see below), whose sum is σ = 128880. Its totient is φ = 57960.

The previous prime is 86959. The next prime is 86969. The reversal of 86967 is 76968.

It is not a de Polignac number, because 86967 - 2³ = 86959 is a prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1584 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (16110).

2⁸⁶⁹⁶⁷ is an apocalyptic number.

86967 is a deficient number, since it is larger than the sum of its proper divisors (41913).

86967 is a wasteful number, since it uses less digits than its factorization.

86967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230 (or 3224 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 86967 is about 294.9016785303. The cubic root of 86967 is about 44.3048730344.

Adding to 86967 its product of digits (18144), we get a triangular number (105111 = T₄₅₈).

Subtracting from 86967 its reverse (76968), we obtain a palindrome (9999).

The spelling of 86967 in words is "eighty-six thousand, nine hundred sixty-seven".