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12739 is a prime number
BaseRepresentation
bin11000111000011
3122110211
43013003
5401424
6134551
752066
oct30703
918424
1012739
119631
127457
135a4c
1448dd
153b94
hex31c3

12739 has 2 divisors, whose sum is σ = 12740. Its totient is φ = 12738.

The previous prime is 12721. The next prime is 12743. The reversal of 12739 is 93721.

12739 is nontrivially palindromic in base 8.

12739 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 is a cyclic number.

It is not a de Polignac number, because 12739 - 27 = 12611 is a prime.

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is not a weakly prime, because it can be changed into another prime (12799) 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, 6369 + 6370.

It is an arithmetic number, because the mean of its divisors is an integer number (6370).

212739 is an apocalyptic number.

12739 is a deficient number, since it is larger than the sum of its proper divisors (1).

12739 is an equidigital number, since it uses as much as digits as its factorization.

12739 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 22.

The square root of 12739 is about 112.8671785773. The cubic root of 12739 is about 23.3549233276.

The spelling of 12739 in words is "twelve thousand, seven hundred thirty-nine".