SSA requires you to update any changes in your citizenship/immigration status. See http://www.ssa.gov/pubs/10120.html
SSA requires you to update any changes in your citizenship/immigration status. See http://www.ssa.gov/pubs/10120.html
It is not mandatory, but it could be to your benefit. It's up to you.
Check this other page for more details on what to do after oath:
http://www.newcitizen.us/after.html
Once again – I did see this publication and there is no SSA requirement for naturalized citizens to update their status. This publication refers to new rules regarding application for Social Security card.