How many days should I spend in Athens to truly immerse myself in its rich history and vibrant culture? Is it enough to just skim the surface with a couple of outings, or should I delve deeper into the myriad of experiences the city has to offer? With the Parthenon standing majestically atop the Acropolis, how can one limit their exploration to a mere fleeting visit? Should I perhaps prioritize certain historical landmarks over others, or is it more prudent to bask in the ambiance of local neighborhoods, savoring authentic Greek cuisine and engaging with the hospitable residents? As I ponder the optimal duration for my sojourn, do I consider the various scheduled events or seasonal festivities that might further enrich my experience? What uncharted corners of the city beckon for exploration, and how many days would allow me to leave Athens with a profound sense of appreciation for its timeless allure?