Can I use the HP Envy 4500 wirelessly without a router?

Yes, you can use HP Wireless Direct to print wirelessly without a router from a computer, smartphone, or other wireless-enabled device. To enable it, go to the Home screen on the printer display, select Wireless Direct, and choose either On (No Security) or On (With Security). Note that an HP Wireless Direct connection does not provide Internet access. (Page 5)