Instagram: How to keep Your account private?

In the app version on the mobile device , Android or IOS

1. In your account profile, tap   to open Settings.
2. In the option Settings at the bottom left, Tap to see privacy options.
3. Locate and tap the Account Privacy in Privacy settings 

               Privacy > Account Privacy.

This makes your account private. By making your account private, your profile contents and other information are not visible to the public.