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/AVvXsEjTjXgbfOfZv0yta0Vg8XyKsaXgxUReht6D_Et_LAKyzeJsHavzhEhlxE8XDK7F1atOlxrUWEwWydXnDSPX3ufW2oYi-CmD4m0SuakNTJELAS-PdNHjySc8wT7jY6yh44QXR4ZvnMpMQHg/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/AVvXsEjETj0kl_YAdbzXgx8UYJOwI7Sqf2RHaf-fQp29aAwd2u7TAPX7izdxxYqzH3HsGF1Moje3HuukUTgTfqD_mD8TGTYu2TnfML4th7NAyxMmlkJksrf6GgYmOXD9rhMKfTRQSFDk6GPUkBI/s200/1225.png)
A representation of consecutive hexagonal numbers.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTjXgbfOfZv0yta0Vg8XyKsaXgxUReht6D_Et_LAKyzeJsHavzhEhlxE8XDK7F1atOlxrUWEwWydXnDSPX3ufW2oYi-CmD4m0SuakNTJELAS-PdNHjySc8wT7jY6yh44QXR4ZvnMpMQHg/s200/n1225a.jpg)
Source: Wolfram MathWorld