Can I use the HP Envy 5530 to print wirelessly without a router?

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