Search a number
-
+
13723289 is a prime number
BaseRepresentation
bin110100010110…
…011010011001
3221211012210222
4310112122121
512003121124
61210045425
7224434406
oct64263231
927735728
1013723289
117823568
124719875
132ac64b8
141b732ad
15131125e
hexd16699

13723289 has 2 divisors, whose sum is σ = 13723290. Its totient is φ = 13723288.

The previous prime is 13723279. The next prime is 13723291. The reversal of 13723289 is 98232731.

13723289 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., 9241600 + 4481689 = 3040^2 + 2117^2 .

It is an emirp because it is prime and its reverse (98232731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13723289 - 28 = 13723033 is a prime.

It is a Sophie Germain prime.

Together with 13723291, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13723219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6861644 + 6861645.

It is an arithmetic number, because the mean of its divisors is an integer number (6861645).

Almost surely, 213723289 is an apocalyptic number.

It is an amenable number.

13723289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13723289 is an equidigital number, since it uses as much as digits as its factorization.

13723289 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18144, while the sum is 35.

The square root of 13723289 is about 3704.4957821544. The cubic root of 13723289 is about 239.4157606352.

The spelling of 13723289 in words is "thirteen million, seven hundred twenty-three thousand, two hundred eighty-nine".