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16127 is a prime number
BaseRepresentation
bin11111011111111
3211010022
43323333
51004002
6202355
765006
oct37377
924108
1016127
1111131
1293bb
137457
145c3d
154ba2
hex3eff

16127 has 2 divisors, whose sum is σ = 16128. Its totient is φ = 16126.

The previous prime is 16111. The next prime is 16139. The reversal of 16127 is 72161.

Subtracting from 16127 its sum of digits (17), we obtain a triangular number (16110 = T179).

Adding to 16127 its reverse (72161), we get a palindrome (88288).

It is a happy number.

16127 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (72161) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 16127 - 24 = 16111 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a Carol number, being equal to (27 - 1)2 - 2.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (16187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8063 + 8064.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

216127 is an apocalyptic number.

16127 is a deficient number, since it is larger than the sum of its proper divisors (1).

16127 is an equidigital number, since it uses as much as digits as its factorization.

16127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84, while the sum is 17.

The square root of 16127 is about 126.9921257401. The cubic root of 16127 is about 25.2649161940.

The spelling of 16127 in words is "sixteen thousand, one hundred twenty-seven".