13289 has 4 divisors (see below), whose sum is σ = 13524. Its totient is φ = 13056.

The previous prime is 13267. The next prime is 13291. The reversal of 13289 is 98231.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 98231 = 7 ⋅14033.

It can be written as a sum of positive squares in 2 ways, for example, as 6889 + 6400 = 83^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 13289 - 2⁸ = 13033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (3381).

2¹³²⁸⁹ is an apocalyptic number.

It is an amenable number.

13289 is a deficient number, since it is larger than the sum of its proper divisors (235).

13289 is an equidigital number, since it uses as much as digits as its factorization.

13289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its digits is 432, while the sum is 23.

The square root of 13289 is about 115.2779250334. The cubic root of 13289 is about 23.6863113579.

The spelling of 13289 in words is "thirteen thousand, two hundred eighty-nine".