No, string primitives do not have methods. As with numeric primitives, the JavaScript runtime will promote them to full-blown "String" objects when called upon to do so by constructs like:
var space = "hello there".indexOf(" ");
In some languages (well, Java in particular, but I think the term is in common use) it's said that the language "boxes" the primitives in their object wrappers when appropriate. With numbers it's a little more complicated due to the vagaries of the token grammar; you can't just say
var foo = 27.toLocaleString();
because the "." won't be interpreted the way you'd need it to be; however:
var foo = (27).toLocaleString();
works fine. With string primitives — and booleans, for that matter — the grammar isn't ambiguous, so for example:
var foo = true.toString();
will work.
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