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12983 is a prime number
BaseRepresentation
bin11001010110111
3122210212
43022313
5403413
6140035
752565
oct31267
918725
1012983
119833
12761b
135ba9
144a35
153ca8
hex32b7

12983 has 2 divisors, whose sum is σ = 12984. Its totient is φ = 12982.

The previous prime is 12979. The next prime is 13001. The reversal of 12983 is 38921.

It is a weak prime.

It is an emirp because it is prime and its reverse (38921) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12983 - 22 = 12979 is a prime.

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

It is a nialpdrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6491 + 6492.

It is an arithmetic number, because the mean of its divisors is an integer number (6492).

212983 is an apocalyptic number.

12983 is a deficient number, since it is larger than the sum of its proper divisors (1).

12983 is an equidigital number, since it uses as much as digits as its factorization.

12983 is an odious number, because the sum of its binary digits is odd.

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

The square root of 12983 is about 113.9429681902. The cubic root of 12983 is about 23.5030929987.

It can be divided in two parts, 129 and 83, that added together give a palindrome (212).

The spelling of 12983 in words is "twelve thousand, nine hundred eighty-three".