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13967 is a prime number
BaseRepresentation
bin11011010001111
3201011022
43122033
5421332
6144355
755502
oct33217
921138
1013967
11a548
1280bb
136485
145139
154212
hex368f

13967 has 2 divisors, whose sum is σ = 13968. Its totient is φ = 13966.

The previous prime is 13963. The next prime is 13997. The reversal of 13967 is 76931.

It is a happy number.

13967 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.

13967 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 13967 - 22 = 13963 is a prime.

It is a Chen prime.

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 (13963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6983 + 6984.

It is an arithmetic number, because the mean of its divisors is an integer number (6984).

213967 is an apocalyptic number.

13967 is a deficient number, since it is larger than the sum of its proper divisors (1).

13967 is an equidigital number, since it uses as much as digits as its factorization.

13967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1134, while the sum is 26.

The square root of 13967 is about 118.1820629368. The cubic root of 13967 is about 24.0824709112.

The spelling of 13967 in words is "thirteen thousand, nine hundred sixty-seven".