1225 is the product of the square of 5 and the square of 7 and hence is the square of 35. It is the product of the squares of two consecutive primes, 5 and 7.
1225 has a representation as a sum of two squares: 1225 = 212 + 282.
1225 is the smallest number with three representations as a sum of four positive cubes: 1225 = 13 + 23 + 63 + 103 = 33 + 73 + 73 + 83 = 43 + 63 + 63 + 93.
1225 is a triangular square number; it is both a perfect square and a triangular number. 1225 is also a hexagonal number.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkZrzrAgffTFhI8ikyUpD-yIm-33bLew2UBau_Aj_59p6kiciQ3ahE9ImJcnc72oUqUv0TG_AIUN5buTfYyxt34kCXUb_I9rExIAAUFAHRdDjTWdCOS8Q5b3Q7HJjZMuBR1OtJ3CXkA-0/s200/n1225a.jpg)
1225 is a triangular square number; it is both a perfect square and a triangular number. 1225 is also a hexagonal number.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn2uzPAnMuAGEQ9xZf43UAm4ruzQqKurOBHXnH4vewZmWk4sV1gZymZB0DWX4cJc_H02AI2ozn15u8uEtqFP27cssWr91oAPr-14IqS9cIUeT43JthqflO-zcG4Qd7lU_z6ExFxNCNogc/s200/1225.png)
A representation of consecutive hexagonal numbers.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgkZrzrAgffTFhI8ikyUpD-yIm-33bLew2UBau_Aj_59p6kiciQ3ahE9ImJcnc72oUqUv0TG_AIUN5buTfYyxt34kCXUb_I9rExIAAUFAHRdDjTWdCOS8Q5b3Q7HJjZMuBR1OtJ3CXkA-0/s200/n1225a.jpg)
Source: Wolfram MathWorld
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