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13729 is a prime number
BaseRepresentation
bin11010110100001
3200211111
43112201
5414404
6143321
755012
oct32641
920744
1013729
11a351
127b41
136331
145009
154104
hex35a1

13729 has 2 divisors, whose sum is σ = 13730. Its totient is φ = 13728.

The previous prime is 13723. The next prime is 13751. The reversal of 13729 is 92731.

13729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13751) can be obtained adding 13729 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11025 + 2704 = 105^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 13729 - 23 = 13721 is a prime.

It is a nialpdrome in base 13.

It is not a weakly prime, because it can be changed into another prime (13721) 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, 6864 + 6865.

It is an arithmetic number, because the mean of its divisors is an integer number (6865).

213729 is an apocalyptic number.

It is an amenable number.

13729 is a deficient number, since it is larger than the sum of its proper divisors (1).

13729 is an equidigital number, since it uses as much as digits as its factorization.

13729 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 13729 is about 117.1708154789. The cubic root of 13729 is about 23.9448967295.

The spelling of 13729 in words is "thirteen thousand, seven hundred twenty-nine".