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14009 is a prime number
BaseRepresentation
bin11011010111001
3201012212
43122321
5422014
6144505
755562
oct33271
921185
1014009
11a586
128135
1364b8
145169
15423e
hex36b9

14009 has 2 divisors, whose sum is σ = 14010. Its totient is φ = 14008.

The previous prime is 13999. The next prime is 14011. The reversal of 14009 is 90041.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13225 + 784 = 115^2 + 28^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14009 is a prime.

It is a Sophie Germain prime.

Together with 14011, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13984 and 14002.

It is not a weakly prime, because it can be changed into another prime (14029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7004 + 7005.

It is an arithmetic number, because the mean of its divisors is an integer number (7005).

214009 is an apocalyptic number.

It is an amenable number.

14009 is a deficient number, since it is larger than the sum of its proper divisors (1).

14009 is an equidigital number, since it uses as much as digits as its factorization.

14009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 14009 is about 118.3596214931. The cubic root of 14009 is about 24.1065861260.

The spelling of 14009 in words is "fourteen thousand, nine".