# Squares and Some More Squares

**Number Theory**Level 2

Find the least number which satisfies the following conditions:

- It is a perfect square.
- If you remove the first digit of the number, the remaining number is still a perfect square.
- If you remove the first two digits of the number, the remaining number is still a perfect square.
- If you remove the last digit of the number, the remaining number is 1 more than a perfect square.
- The sum of its digits is 1 more than a perfect square.