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13697 is a prime number
BaseRepresentation
bin11010110000001
3200210022
43112001
5414242
6143225
754635
oct32601
920708
1013697
11a322
127b15
136308
144dc5
1540d2
hex3581

13697 has 2 divisors, whose sum is σ = 13698. Its totient is φ = 13696.

The previous prime is 13693. The next prime is 13709. The reversal of 13697 is 79631.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7921 + 5776 = 89^2 + 76^2 .

It is an emirp because it is prime and its reverse (79631) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13697 - 22 = 13693 is a prime.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13697.

It is not a weakly prime, because it can be changed into another prime (13691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6848 + 6849.

It is an arithmetic number, because the mean of its divisors is an integer number (6849).

It is a Proth number, since it is equal to 107 ⋅ 27 + 1 and 107 < 27.

213697 is an apocalyptic number.

It is an amenable number.

13697 is a deficient number, since it is larger than the sum of its proper divisors (1).

13697 is an equidigital number, since it uses as much as digits as its factorization.

13697 is an evil number, because the sum of its binary digits is even.

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

The square root of 13697 is about 117.0341830407. The cubic root of 13697 is about 23.9262784085.

The spelling of 13697 in words is "thirteen thousand, six hundred ninety-seven".