617 and 619 form a twin prime pair.
617 = 1!2 + 2!2 + 3!2 + 4!2.
617 is the largest multi-digit prime that is exactly half of a number formed with distinct consecutive digits: 1234.
617 has a representation as a sum of two squares: 617 = 162 + 192.
617 is the hypotenuse of a primitive Pythagorean triple: 6172 = 1052 + 6082.
617 is a divisor of 3111 - 1.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEioOjaGaf94Wel8S_FgM-wmnyoh1wghYxxfbq7FmxwtoYCih8-vfFxeqH-Bs0xIwC4hJdAenW6fqtl2zItOUvrIA59elUtGj9CwPKzekX6JAayMxLCLA3EaoRrN7W33cclPdbs_rhabUXI/s200/n0617.jpg)
Source: Prime Curios!
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