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12743 is a prime number
BaseRepresentation
bin11000111000111
3122110222
43013013
5401433
6134555
752103
oct30707
918428
1012743
119635
12745b
135a53
144903
153b98
hex31c7

12743 has 2 divisors, whose sum is σ = 12744. Its totient is φ = 12742.

The previous prime is 12739. The next prime is 12757. The reversal of 12743 is 34721.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (34721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12743 - 22 = 12739 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6371 + 6372.

It is an arithmetic number, because the mean of its divisors is an integer number (6372).

212743 is an apocalyptic number.

12743 is a deficient number, since it is larger than the sum of its proper divisors (1).

12743 is an equidigital number, since it uses as much as digits as its factorization.

12743 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 17.

The square root of 12743 is about 112.8848971298. The cubic root of 12743 is about 23.3573675256.

It can be divided in two parts, 1 and 2743, that added together give a cube (2744 = 143).

The spelling of 12743 in words is "twelve thousand, seven hundred forty-three", and thus it is an iban number.