A man had an accident and was admitted into the hospital. When questioned by the police about the vehicle, he replied it is a Yamaha bike. It is red in color and the rider was wearing a black shirt. The police inspector said, that is all right, but tell me anything about the registration number. "For this the replied I do not remember the number but there is a peculiarity of the number. It has only two factors excluding 1 and itself. In addition, it is a four digit number with the first two digits forming a perfect square. Also, the next two digits form a number which is one more than a perfect square". Which of the following could be the number?
