2014 ( The sum of the digits = 7, a prime number )
It is: 11 because 1+1 = 2 which is the smallest prime number
The smallest prime number, of course, is 2. The smallest prime number whose digits add up to 2 is, of course, 2. The next-smallest is 11. It is left as an exercise for the reader to determine whether the other numbers whose digits add up to 2 (e.g. 101, 1001, 10001) are prime.
No. It is divisible by 3, as you will see if you add up the digits.
The only two digit numbers whose digits add up to 17 are 89 and 98. Since 98 is an even number, 89 is prime.
No. It is also divisible by 3, as you will see if you add the digits of the number together.
23 or 41
Since its digits add up to a multiple of three, it's divisible by three. That means it's not prime.