Can my iPhone history be checked by another computer?

I own the iPhone 4S. I use the Wi-Fi that the rest of the house uses. Can somebody go onto the router's page and see what websites I visit? I understand that they can see the devices connected to the Wi-Fi, but is there a way to see the websites I visit on my iPhone? We have the NETGEAR WNDR3700v3.

I don't think so. What I do is I don't use safari on my phone. I use the google app. So everything I do is all in the app and I can delete the app if I want

Possible? Very remotely. You really have to know what you're doing to be able to do that. Your average John Q Computer-nerd wouldn't be able to do that. So don't worry.