With orders of $25 or more, Amazon offers Prime members the Westcott iPoint Ball Battery Pencil Sharpener in Red/Black, model no. 15570, for $4.26 with free shipping. (Non-members can spend $35 or more to qualify for free shipping.) That's the lowest total price we could find by $11. It runs on four AA batteries (not included).

Note: This item is part of Amazon's add-on program and can only be purchased with an order of $25 or more.