8967 has 12 divisors (see below), whose sum is σ = 14136.
Its totient is φ = 5040.
The previous prime is 8963. The next prime is 8969. The reversal of 8967 is 7698.
It can be divided in two parts, 896 and 7, that added together give a triangular number (903 = T42).
It is a happy number.
It is not a de Polignac number, because 8967 - 22 = 8963 is a prime.
It is an alternating number because its digits alternate between even and odd.
It is a plaindrome in base 15.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8963) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 177.
It is an arithmetic number, because the mean of its divisors is an integer number (1178).
28967 is an apocalyptic number.
8967 is a deficient number, since it is larger than the sum of its proper divisors (5169).
8967 is a wasteful number, since it uses less digits than its factorization.
8967 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 78 (or 71 counting only the distinct ones).
The product of its digits is 3024, while the sum is 30.
The square root of 8967 is about 94.6942448093.
The cubic root of 8967 is about 20.7753838475.
The spelling of 8967 in words is "eight thousand, nine hundred sixty-seven".