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13997 is a prime number
BaseRepresentation
bin11011010101101
3201012102
43122231
5421442
6144445
755544
oct33255
921172
1013997
11a575
128125
1364a9
14515b
154232

13997 has 2 divisors, whose sum is σ = 13998. Its totient is φ = 13996.

The previous prime is 13967. The next prime is 13999. The reversal of 13997 is 79931.

13997 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 can be written as a sum of positive squares in only one way, i.e., 11881 + 2116 = 109^2 + 46^2 .

It is a cyclic number.

It is not a de Polignac number, because 13997 - 26 = 13933 is a prime.

Together with 13999, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 6 and base 16.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13997.

It is not a weakly prime, because it can be changed into another prime (13999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6998 + 6999.

It is an arithmetic number, because the mean of its divisors is an integer number (6999).

213997 is an apocalyptic number.

It is an amenable number.

13997 is a deficient number, since it is larger than the sum of its proper divisors (1).

13997 is an equidigital number, since it uses as much as digits as its factorization.

13997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1701, while the sum is 29.

The square root of 13997 is about 118.3089176690. The cubic root of 13997 is about 24.0997009886.

The spelling of 13997 in words is "thirteen thousand, nine hundred ninety-seven".