What is/is_not a function in Scala

scala-functions.scala

object looksLikeAFunction{
  def apply(s:String):Int=1
}
object nowAFunction extends Function[String,Int]{
  def apply(s:String):Int=1
}

object TestMethods {
   implicit def  functionToAnother(f:Function[String,Int]):Function[Int,String] = 
                                                          (i:Int)=> f(i.toString()).toString()

  def someMethod(s:String):Int=1
  def someFunction:Function[String,Int]= s=>1
  def main(args:Array[String]){
        // Wouldn't compile: looks like methods aren't functions?
        //println(someMethod(1))

        //objects aren't functions either if they don't implement Function trait
        //println(looksLikeAFunction(1))

        // an object that is a function
        println(nowAFunction(1))

        //a function
        println(someFunction(1))
  }
}

updated to remove ambiguity with println taking a String