173 is a prime number. It is a Sophie Germain prime because 2 x 173 + 1 = 347, which is also prime.
173 has a representation as a sum of two squares: 173 = 22 + 132. It is the sum of the squares of two Fibonacci numbers, 2 and 13.
173 is the hypotenuse of a primitive Pythagorean triple: 1732 = 522 + 1652.
173 is the only prime whose sum of cubed digits equals its reversal: 13 + 73 + 33 = 371.
173 is the largest known prime whose square (29929) and cube (5177717) have no digits in common.
173 = 1 + 22 + 23 + 25 + 27, where the exponents are consecutive primes.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgn7NWo7CPz1T7LqU7FXniSr8LgkL4juDV_gexIByNBtfzRauCoLQturWrFvZQ1Y18-lUxGZmTmz_ENjBPUpWF4OXelENhxQU2cMjp90gSY_APKf30zinmYUG0MX2xrmBxQeWEkWinO3Q0/s200/n0173.jpg)
Source: Prime Curios!
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