N is a 3-digit number that is a perfect square. When the first digit is increased by 1, the second digit is increased by 2, the third digit is increased by 3, the result is still a perfect square. Determine N.
3 digit numbers which are also perfect squares are
100, 121, 144 , 169 , 196, 225, 256 , 289 , 324, 361
400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961,
Can you find a match for your criteria ?