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11717 is a prime number
BaseRepresentation
bin10110111000101
3121001222
42313011
5333332
6130125
746106
oct26705
917058
1011717
118892
126945
135444
1443ad
153712
hex2dc5

11717 has 2 divisors, whose sum is σ = 11718. Its totient is φ = 11716.

The previous prime is 11701. The next prime is 11719. The reversal of 11717 is 71711.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6241 + 5476 = 79^2 + 74^2 .

It is an emirp because it is prime and its reverse (71711) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11717 - 24 = 11701 is a prime.

Together with 11719, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 5 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 11695 and 11704.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5858 + 5859.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

211717 is an apocalyptic number.

It is an amenable number.

11717 is a deficient number, since it is larger than the sum of its proper divisors (1).

11717 is an equidigital number, since it uses as much as digits as its factorization.

11717 is an evil number, because the sum of its binary digits is even.

The product of its digits is 49, while the sum is 17.

The square root of 11717 is about 108.2450922675. The cubic root of 11717 is about 22.7128767013.

It can be divided in two parts, 11 and 717, that multiplied together give a palindrome (7887).

The spelling of 11717 in words is "eleven thousand, seven hundred seventeen", and thus it is an iban number.