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13327 is a prime number
BaseRepresentation
bin11010000001111
3200021121
43100033
5411302
6141411
753566
oct32017
920247
1013327
11a016
127867
1360b2
144bdd
153e37
hex340f

13327 has 2 divisors, whose sum is σ = 13328. Its totient is φ = 13326.

The previous prime is 13313. The next prime is 13331. The reversal of 13327 is 72331.

13327 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13327 - 211 = 11279 is a prime.

13327 is a lucky number.

It is equal to p1582 and since 13327 and 1582 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 13327.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13337) 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, 6663 + 6664.

It is an arithmetic number, because the mean of its divisors is an integer number (6664).

213327 is an apocalyptic number.

13327 is a deficient number, since it is larger than the sum of its proper divisors (1).

13327 is an equidigital number, since it uses as much as digits as its factorization.

13327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 16.

The square root of 13327 is about 115.4426264427. The cubic root of 13327 is about 23.7088669368.

Adding to 13327 its reverse (72331), we get a palindrome (85658).

The spelling of 13327 in words is "thirteen thousand, three hundred twenty-seven".