8667 has 10 divisors (see below), whose sum is σ = 13068. Its totient is φ = 5724.

The previous prime is 8663. The next prime is 8669. The reversal of 8667 is 7668.

It is not a de Polignac number, because 8667 - 2² = 8663 is a prime.

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

It is a d-powerful number, because it can be written as 8³ + 6² + 6⁵ + 7³ .

It is a self number, because there is not a number n which added to its sum of digits gives 8667.

It is not an unprimeable number, because it can be changed into a prime (8663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 28 + ... + 134.

2⁸⁶⁶⁷ is an apocalyptic number.

8667 is a deficient number, since it is larger than the sum of its proper divisors (4401).

8667 is a wasteful number, since it uses less digits than its factorization.

8667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

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

The square root of 8667 is about 93.0967238951. The cubic root of 8667 is about 20.5410638327.

Subtracting from 8667 its reverse (7668), we obtain a palindrome (999).

It can be divided in two parts, 86 and 67, that added together give a triangular number (153 = T₁₇).

The spelling of 8667 in words is "eight thousand, six hundred sixty-seven".