289 = 172.
289 is the largest 3-digit square with increasing digits.
289 has a representation as a sum of two squares: 289 = 82 + 152.
289 is the hypotenuse of a primitive Pythagorean triple: 2892 = 1612 + 2402.
289 is a centered octagonal number.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPZ30URFaY0sGiZpGmPvVAEcSqp1n1J4qRO8e_gtiL9nL1No3GYAk8DgVY01Ixjzyg9L_CJBbh8_s7aUkp79-1-n98Qz5eNrZYaHuPW1D3Q1LUtuAcI-bZNCeyJSQDs-eMDgP3japme2k/s200/n0289.jpg)
Source: Number Gossip