169 is the smallest three-digit square whose digits are increasing. It is also the smallest square that is a prime number when turned upside down (691).
169 is the sum of seven consecutive primes: 13 + 17 + 19 + 23 + 29 + 31 + 37 = 169.
Add the factorials of its digits: 1! + 6! = 9! = 363,601. Repeat the process with 363,601 to get 3! + 6! + 3! + 6! + 0! + 1! = 1454. Repeat the process to get 169.
169 is the smallest square that is the difference of two cubes: 83 – 73 = 169.
169 has a representation as a sum of two squares: 169 = 52 + 122.
169 is the hypotenuse of a primitive Pythagorean triple: 1692 = 1192 + 1202.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdwcwTldPuY2X1p8zyA07DITkrwtOaf64sMmNw1JEP2rL01VEInY1fVnMn66vYmeWarmsYFG9jvwKrt97vWFkoTG1me2ApI5J-AMwFdCT39kOuKjjHWswnce34lFj7pZA9aNDLgjuC4mQ/s200/n0169.jpg)
The number of nonequivalent starting hands in Texas hold ‘em poker is 169.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjdwcwTldPuY2X1p8zyA07DITkrwtOaf64sMmNw1JEP2rL01VEInY1fVnMn66vYmeWarmsYFG9jvwKrt97vWFkoTG1me2ApI5J-AMwFdCT39kOuKjjHWswnce34lFj7pZA9aNDLgjuC4mQ/s200/n0169.jpg)
The number of nonequivalent starting hands in Texas hold ‘em poker is 169.