18289 has 2 divisors, whose sum is σ = 18290. Its totient is φ = 18288.

The previous prime is 18287. The next prime is 18301. The reversal of 18289 is 98281.

18289 is nontrivially palindromic in base 2.

18289 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., 18225 + 64 = 135^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 18289 - 2¹ = 18287 is a prime.

Together with 18287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (18287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9144 + 9145.

It is an arithmetic number, because the mean of its divisors is an integer number (9145).

2¹⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

18289 is a deficient number, since it is larger than the sum of its proper divisors (1).

18289 is an equidigital number, since it uses as much as digits as its factorization.

18289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1152, while the sum is 28.

The square root of 18289 is about 135.2368293033. The cubic root of 18289 is about 26.3469281225.

The spelling of 18289 in words is "eighteen thousand, two hundred eighty-nine".