N565 a MUST when first name changes by 1 letter?

[mandscoppola]

I had my first name changed by 1 letter and I am wondering whether I must get my Certificate of Naturalization (issued Sep 2010) changed. It looks like a steep investment I am happy to pay if I have to.

[gar21233]

If the error was made by USCIS they can change it but otherwise you have to file a court name change, what I mean if USCIS made the error is if they spelled your name wrong or they put something different that doesnt match your n-400.