Školjka

%V0 Each positive integer $a$ is subjected to the following procedure, yielding the number $d = d\left(a\right)$: (a) The last digit of $a$ is moved to the first position. The resulting number is called $b$. (b) The number $b$ is squared. The resulting number is called $c$. (c) The first digit of $c$ is moved to the last position. The resulting number is called $d$. (All numbers are considered in the decimal system.) For instance, $a = 2003$ gives $b = 3200$, $c = 10240000$ and $d = 02400001 = 2400001 = d\left(2003\right)$. Find all integers a such that $d\left( a\right) =a^2$.