Can I print from my phone or tablet without a router using the HP Envy 4520?
Yes, you can use Wi-Fi Direct to print wirelessly without a router from your smartphone or other wireless-enabled device. To enable it, touch the Wi-Fi Direct icon from the Home screen on the printer display and turn it on if the Status shows Off. Note that a Wi-Fi Direct connection does not provide Internet access. (Page 5)
From the official HP Envy 4520 All-in-One Printer manual, page 5
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