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13723 is a prime number
BaseRepresentation
bin11010110011011
3200211021
43112123
5414343
6143311
755003
oct32633
920737
1013723
11a346
127b37
136328
145003
1540ed
hex359b

13723 has 2 divisors, whose sum is σ = 13724. Its totient is φ = 13722.

The previous prime is 13721. The next prime is 13729. The reversal of 13723 is 32731.

13723 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13723 - 21 = 13721 is a prime.

Together with 13721, it forms a pair of twin primes.

13723 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13697 and 13706.

It is not a weakly prime, because it can be changed into another prime (13721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6861 + 6862.

It is an arithmetic number, because the mean of its divisors is an integer number (6862).

213723 is an apocalyptic number.

13723 is a deficient number, since it is larger than the sum of its proper divisors (1).

13723 is an equidigital number, since it uses as much as digits as its factorization.

13723 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 16.

The square root of 13723 is about 117.1452090356. The cubic root of 13723 is about 23.9414079997.

The spelling of 13723 in words is "thirteen thousand, seven hundred twenty-three".