# The Digits ABCABD

How many possible 6 digit numbers are there of the form $$N=\overline{abcabd}$$ where $$a \neq 0, d \neq 0$$, $$d = c + 1$$ and $$N$$ is a perfect square?

Details and assumptions

The condition of $$a \neq 0$$ follows because we have a 6 digit number.
The condition of $$d \neq 0$$ follows because $$0 \neq 9 + 1$$.

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