circular numbers

Here is the link to the Wikipedia article on this topic.
I would like to suggest an additional meaning of ‘circular number’, namely, a number (that is, an integer) representable as the sum of two squares. That way a certain famous result glides smoothly off the tongue as, “The product of two circular numbers is itself circular.” Furthermore, I would like to suggest the term ‘semi-circular number’ for a number that is representable as the sum of two circular numbers. That way Lagrange’s four-square theorem glides smoothly off the tongue as, “Every nonnegative integer is semi-circular.”
keywords:
[two squares]
[Mathematics]
[Diophantus identity]
[Brahmagupta-Fibonacci identity]
[Number Theory]
[representation]
[ending digits]
[automorphic numbers]