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13397 is a prime number
BaseRepresentation
bin11010001010101
3200101012
43101111
5412042
6142005
754026
oct32125
920335
1013397
11a07a
127905
136137
144c4d
153e82
hex3455

13397 has 2 divisors, whose sum is σ = 13398. Its totient is φ = 13396.

The previous prime is 13381. The next prime is 13399. The reversal of 13397 is 79331.

13397 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., 7921 + 5476 = 89^2 + 74^2 .

It is a cyclic number.

It is not a de Polignac number, because 13397 - 24 = 13381 is a prime.

Together with 13399, it forms a pair of twin primes.

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 (13399) 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, 6698 + 6699.

It is an arithmetic number, because the mean of its divisors is an integer number (6699).

213397 is an apocalyptic number.

It is an amenable number.

13397 is a deficient number, since it is larger than the sum of its proper divisors (1).

13397 is an equidigital number, since it uses as much as digits as its factorization.

13397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 567, while the sum is 23.

The square root of 13397 is about 115.7454102762. The cubic root of 13397 is about 23.7503047052.

The spelling of 13397 in words is "thirteen thousand, three hundred ninety-seven".