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13873 is a prime number
BaseRepresentation
bin11011000110001
3201000211
43120301
5420443
6144121
755306
oct33061
921024
1013873
11a472
128041
136412
15419d
hex3631

13873 has 2 divisors, whose sum is σ = 13874. Its totient is φ = 13872.

The previous prime is 13859. The next prime is 13877. The reversal of 13873 is 37831.

13873 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 can be written as a sum of positive squares in only one way, i.e., 11664 + 2209 = 108^2 + 47^2 .

It is an emirp because it is prime and its reverse (37831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13873 - 25 = 13841 is a prime.

It is an Ulam number.

13873 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (13877) 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, 6936 + 6937.

It is an arithmetic number, because the mean of its divisors is an integer number (6937).

213873 is an apocalyptic number.

It is an amenable number.

13873 is a deficient number, since it is larger than the sum of its proper divisors (1).

13873 is an equidigital number, since it uses as much as digits as its factorization.

13873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 22.

The square root of 13873 is about 117.7837000607. The cubic root of 13873 is about 24.0283230435.

The spelling of 13873 in words is "thirteen thousand, eight hundred seventy-three".