A Prime number with the following properties
Less than 7 digits and more than 3 digits
ALL digits in the number are Prime numbers-- some repeated.
All individual digits in the number add up to a Prime Number-- whose digits also add up to a Prime number
The last 2 digits of the number are same as the first 2 digits.
And, it exhibits another property described by a hyphenated word in Wikipedia.
What is the number and what is that property?
Note: You should be able to get this without the help of computers. But you can do the final check, if you must, on the net once you come up with the answer.