217 (two hundred [and] seventeen) is the natural number following 216 and preceding 218.
217 is a centered hexagonal number, a 12-gonal number, a centered 36-gonal number, a Fermat pseudoprime to base 5, and a Blum integer.[1] It is both the sum of two positive cubes and the difference of two positive consecutive cubes in exactly one way: 217 = 6 3 + 1 3 = 9 3 − − --> 8 3 {\displaystyle 217=6^{3}+1^{3}=9^{3}-8^{3}} . When written in binary, it is a non-repetitive Kaprekar number.[2] It is also the sum of all the divisors of 100.
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