164 = 22 x 41.
164 is the smallest concatenation of two squares in two ways: 1 and 64; 16 and 4.
164 is 20002 in base 3 and 202 in base 9.
164 has a representation as a sum of two squares: 164 = 82 + 102.
164 is a divisor of 812 - 1.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjApJn5ZMOw0V5CK2t-djRuG8kqteZcSMPHlu4JT91my0nQVVP34WWOX5-Z02C9_ehOdgYRD0aBIwvtvOndEUC9K5On-PGN3OL49zZfvchgb2QqRf2xcElxbu1_hGMwHykyLgmAaq4DyMI/s200/n0164.jpg)
164 is the highest possible score of a word in the game Scrabble: playing “Quartzy” across triple-word square with “z” on a double-letter square and a premium of 50 for using all seven letters on the rack.
Source: Number Gossip
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjApJn5ZMOw0V5CK2t-djRuG8kqteZcSMPHlu4JT91my0nQVVP34WWOX5-Z02C9_ehOdgYRD0aBIwvtvOndEUC9K5On-PGN3OL49zZfvchgb2QqRf2xcElxbu1_hGMwHykyLgmAaq4DyMI/s200/n0164.jpg)
164 is the highest possible score of a word in the game Scrabble: playing “Quartzy” across triple-word square with “z” on a double-letter square and a premium of 50 for using all seven letters on the rack.
Source: Number Gossip