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Line 1: {{refimprove|date=December 2012}} {{ | number = 170
| divisor=1, 2, 5, 10, 17, 34, 85, 170▼
▲|divisor=1, 2, 5, 10, 17, 34, 85, 170 }} '''170''' ('''one hundred [and] seventy''') is the [[natural number]] following [[169 (number)|169]] and preceding [[171 (number)|171]]. ==In mathematics== 170 is the smallest ''n'' for which φ(''n'') and σ(''n'') are both square (64 and 324 respectively). But 170 is never a solution for φ(''x''), making it a [[nontotient]]. Nor is it ever a solution to ''x'' - φ(''x''), making it a [[noncototient]]. 170 is a [[repdigit]] in [[base 4]] (2222) and [[base 16]] (AA), as well as in bases 33, 84, and 169. It is also a [[sphenic number]]. 170 is the largest integer for which its [[ There are 170 different [[cyclic permutation|cyclic]] [[Gilbreath permutation]]s on 12 elements,<ref>{{
==See also== Line 31 ⟶ 24: * [[United Nations Security Council Resolution 170]] * [[Pennsylvania House of Representatives, District 170]]
==References== Line 37 ⟶ 29: ==External links== {{Commons cat * [http://www.numdic.com/170 The Number 170] * [https://web.archive.org/web/20091023061038/http://athensohio.net/reference/number/170/ Number Facts and Trivia: 170] * [http://www.positiveintegers.org/170 The Positive Integer 170] * [http://primes.utm.edu/curios/page.php/170.html Prime curiosities: 170]
{{Integers|1}} Line 50 ⟶ 39: {{DEFAULTSORT:170 (Number)}} [[Category:Integers]]
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