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12689 is a prime number
BaseRepresentation
bin11000110010001
3122101222
43012101
5401224
6134425
751665
oct30621
918358
1012689
119596
127415
135a11
1448a5
153b5e
hex3191

12689 has 2 divisors, whose sum is σ = 12690. Its totient is φ = 12688.

The previous prime is 12671. The next prime is 12697. The reversal of 12689 is 98621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 4225 = 92^2 + 65^2 .

It is an emirp because it is prime and its reverse (98621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12689 - 28 = 12433 is a prime.

It is a super-2 number, since 2×126892 = 322021442, which contains 22 as substring.

It is a plaindrome in base 10.

It is not a weakly prime, because it can be changed into another prime (12619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6344 + 6345.

It is an arithmetic number, because the mean of its divisors is an integer number (6345).

212689 is an apocalyptic number.

It is an amenable number.

12689 is a deficient number, since it is larger than the sum of its proper divisors (1).

12689 is an equidigital number, since it uses as much as digits as its factorization.

12689 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 26.

The square root of 12689 is about 112.6454615153. The cubic root of 12689 is about 23.3243275903.

The spelling of 12689 in words is "twelve thousand, six hundred eighty-nine".