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12289 is a prime number

12289 has 2 divisors, whose sum is σ = 12290. Its totient is φ = 12288.

The previous prime is 12281. The next prime is 12301. The reversal of 12289 is 98221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 625 = 108^2 + 25^2 .

It is an emirp because it is prime and its reverse (98221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12289 - 23 = 12281 is a prime.

It is a plaindrome in base 10 and base 14.

It is not a weakly prime, because it can be changed into another prime (12281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a Pierpont prime, being equal to 212 ⋅ 31 + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6144 + 6145.

It is an arithmetic number, because the mean of its divisors is an integer number (6145).

It is a Proth number, since it is equal to 3 ⋅ 212 + 1 and 3 < 212.

212289 is an apocalyptic number.

It is an amenable number.

12289 is a deficient number, since it is larger than the sum of its proper divisors (1).

12289 is an equidigital number, since it uses as much as digits as its factorization.

12289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 22.

The square root of 12289 is about 110.8557621416. The cubic root of 12289 is about 23.0766190843.

The spelling of 12289 in words is "twelve thousand, two hundred eighty-nine".