The President of India is the head of state and plays a crucial role in the functioning of the Indian Polity. Some of the key powers and functions assigned to the President are as follows:

• The President is the Commander-in-Chief of the Indian Armed Forces and has the power to declare war and make peace.
• The President is responsible for appointing governors, judges of the Supreme Court and High Courts, and other key positions in the government.
• The President can summon and prorogue both houses of the Parliament and can dissolve the Lok Sabha (lower house) on the advice of the Prime Minister.
• The President has the power to grant pardons, reprieves, and remissions of punishment to individuals convicted of a crime.
• The President represents India in international forums and has the power to sign agreements and treaties with other countries.
• The President plays a key role in the formation of the government and appoints the Prime Minister and Council of Ministers.
• The President addresses the joint session of Parliament and gives important policy speeches to the nation.

In short, the President of India has a range of powers and functions assigned to him/her that are critical to the functioning of the Indian Polity.