8089 has 2 divisors, whose sum is σ = 8090. Its totient is φ = 8088.

The previous prime is 8087. The next prime is 8093. The reversal of 8089 is 9808.

8089 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4489 + 3600 = 67^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 8089 - 2¹ = 8087 is a prime.

Together with 8087, it forms a pair of twin primes.

8089 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (8081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4044 + 4045.

It is an arithmetic number, because the mean of its divisors is an integer number (4045).

2⁸⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

8089 is a deficient number, since it is larger than the sum of its proper divisors (1).

8089 is an equidigital number, since it uses as much as digits as its factorization.

8089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 8089 is about 89.9388681272. The cubic root of 8089 is about 20.0738933193.

It can be divided in two parts, 80 and 89, that added together give a square (169 = 13²).

The spelling of 8089 in words is "eight thousand, eighty-nine".