111. Palindromic Squares. Here is an interesting subject for investigation: to find squares of integers that can be read the same way forwards and backwards. Some of them are very easy to find. For example, the squares of the numbers $1, 11, 111$, and 1111 are $1, 121, 12321$, and 1234321, respectively. All the resulting numbers are palindromes, and this rule applies to any number of ones not exceeding 9. However, there are other cases that we might call irregular. For example, $264^{2}=69696$, and $2285^{2}=5221225$.

In all the examples given above, the number of digits was odd. Could the reader provide examples with an even number of digits[^6]
111. The square of the number 836, equal to 698896, contains an even number of digits, and it can be read the same way both from left to right and from right to left. Among all squares containing this even number of digits, the palindromic square is the smallest.