8689 has 2 divisors, whose sum is σ = 8690.
Its totient is φ = 8688.
The previous prime is 8681. The next prime is 8693. The reversal of 8689 is 9868.
8689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 8464 + 225 = 92^2 + 15^2
It is a cyclic number.
It is not a de Polignac number, because 8689 - 23 = 8681 is a prime.
It is a Chen prime.
It is a self number, because there is not a number n which added to its sum of digits gives 8689.
It is not a weakly prime, because it can be changed into another prime (8681) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a good prime.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4344 + 4345.
It is an arithmetic number, because the mean of its divisors is an integer number (4345).
28689 is an apocalyptic number.
It is an amenable number.
8689 is a deficient number, since it is larger than the sum of its proper divisors (1).
8689 is an equidigital number, since it uses as much as digits as its factorization.
8689 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 3456, while the sum is 31.
The square root of 8689 is about 93.2148056909.
The cubic root of 8689 is about 20.5584293793.
The spelling of 8689 in words is "eight thousand, six hundred eighty-nine".