CONO-SUR 2008 Problem 1

We define $I(n)$ as the result when the digits of $n$ are reversed. For example, $I(123)=321$ , $I(2008)=8002$ . Find all integers $n$ , $1\leq{n}\leq10000$ for which $I(n)=\lceil{\frac{n}{2}}\rceil$ . Note: $\lceil{x}\rceil$ denotes the smallest integer greater than or equal to $x$ . For example, $\lceil{2.1}\rceil=3$ , $\lceil{3.9}\rceil=4$ , $\lceil{7}\rceil=7$ .