Sorry, no online dictionaries contain the exact phrase non-square integer.
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Reverse dictionary results:
1. int
 2. numeral
3. whole
4. whole number
5. one
6. unit
7. aleph-null
8. characteristic
9. common divisor
10. common factor
 11. common measure
12. common multiple
13. congruence
14. coprime
15. divisor
16. double digit
17. factor
18. factorial
19. integers
20. integral
 21. large integer
22. long
23. modulus
24. multiple
25. natural number
26. number
27. numbering
28. numbing
29. parity
30. partition
 31. point
32. prime
33. prime number
34. primed
35. rational
36. rational number
37. remainder
38. aleph-nought
39. aleph-zero
40. aliquant

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