Is it possible to remove a virus from iPhone?

I don't know whether I have a virus on my iPhone, there haven't been any signs… However I'm paranoid because I used to be oblivious and go on lots of random websites to watch films/programs while in bed. But now I use my iPhone for online banking so I'm paranoid. Is it possible to check for a virus on my iPhone or it is impossible to know?

Thanks

Added (1). Also I don't want to infect my PC because I plug it in a lot to charge it.

A cell phone can't infect a PC and a PC can't infect a cell phone because of the OS. I would recommend downloading avast antivirus from the appstore. Its free and one of the best antivirus's for cell phones.
I would probably also recommend taking any information or content form your phone and moving it to your PC and resetting your phone.
Like I said its completely impossible for a cell phone virus to infect a PC its like a dog catching a human virus or vise versa.

It is possible to clean your iPhone by using the following steps:

1.Basic troubleshoot
A basic trouble shoot of your iPhone requires you to reset it to its original network settings. To do this follow these steps
Click the settings button>General>Reset
From this menu, You should be able to reset the network settings.
After resetting your iPhone, you need to restart it and restore all its settings. This should get rid of the virus and return your phone to normal function.

2.Clean Apps

3.Change Root Password

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