Infinitely many, since every positive number is a square of some other number.
However, there are 21 perfect squares (SQUARES OF INTEGERS). From 112 to 312, inclusive.
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There are 31 perfect square numbers between 1 and 1000 (including 1).
111 numbers between 5 and 1000 are divisible by 9
There are 10 square numbers
There are a total of 890 numbers between 110 and 1000 inclusive - 445 of these are odd, and 445 are even.
There are 107 numerical palindromes between the numbers 1 and 1000, starting from 2 to 999.