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12713 is a prime number
BaseRepresentation
bin11000110101001
3122102212
43012221
5401323
6134505
752031
oct30651
918385
1012713
119608
127435
135a2c
1448c1
153b78
hex31a9

12713 has 2 divisors, whose sum is σ = 12714. Its totient is φ = 12712.

The previous prime is 12703. The next prime is 12721. The reversal of 12713 is 31721.

12713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 169 = 112^2 + 13^2 .

It is an emirp because it is prime and its reverse (31721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12713 - 24 = 12697 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6356 + 6357.

It is an arithmetic number, because the mean of its divisors is an integer number (6357).

212713 is an apocalyptic number.

It is an amenable number.

12713 is a deficient number, since it is larger than the sum of its proper divisors (1).

12713 is an equidigital number, since it uses as much as digits as its factorization.

12713 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 14.

The square root of 12713 is about 112.7519401163. The cubic root of 12713 is about 23.3390235555.

The spelling of 12713 in words is "twelve thousand, seven hundred thirteen".