Please check your coin again. It's either not 1965, not JFK, or not a dollar.
Most likely it's a HALF dollar, because JFK's picture has only appeared on that denomination since 1964 (turn it over and check the back!)
Also, there were no $1 coins struck from 1936 to 1970 inclusive, and the coins struck from 1971 to 1999 are copper-nickel, not silver, while those made since 2000 are brass.
1965 to 1969 Kennedy half dollars were all struck in 40% silver and have a bullion value of about $2.00
As of 19 March 2016, 40% silver Kennedy halves (1965-70) are worth $2.34.
The 1965 Kennedy half dollar is a 40% silver coin (1965-1969) but so many were made only a very high grade uncirculated example is worth more than the silver in the coin. The silver value today is about $2.70
Uncirculated 40% silver Kennedy half's are very common. Average retail values for most are $4.00-$4.25.
Kennedy halves from 1965 to 1970 were struck in 40% silver, so yes.
1965 to 1969 Kennedy half dollars were all struck in 40% silver and have a bullion value of about $2.00
As of 19 March 2016, 40% silver Kennedy halves (1965-70) are worth $2.34.
The 1965 Kennedy half dollar is a 40% silver coin (1965-1969) but so many were made only a very high grade uncirculated example is worth more than the silver in the coin. The silver value today is about $2.70
Uncirculated 40% silver Kennedy half's are very common. Average retail values for most are $4.00-$4.25.
All Kennedy half dollars struck for general circulation from 1971 to date are made of 75% copper & 25% nickel not silver and are only face value. 1964 are 90% silver and 1965-1970 40% silver.
The 1964 Kennedy half dollar contain 11.25 grams of silver. Kennedy half dollars from 1965 through 1970 contain 4.60 grams of silver.
Kennedy half-dollars dated 1965-1970 contain 40% silver and 60% copper, with a total weigh of 11.5 grams. Using metal prices as of 17 February 2013, the copper in one 1965 half-dollar is worth 5.7 cents. The total melt value of the coin (silver + copper) is currently $4.47.
Kennedy halves from 1965 to 1970 were struck in 40% silver, so yes.
Kennedy half dollars dated from 1965 to 1970are only40% silver. A 1966 is not rare, most are only valued for the silver about $5.
1965-1970 Kennedy halves are only 40% silver. Most are valued for just the silver, about $4.50.
The 1965 Kennedy halves are 40% silver, but so common most are valued only for the silver, about $6.00.
A 1964 Kennedy Half Dollar was actually composed of silver - its value in MS60 condition is: about 0.36 times the current price of silver. From 1965 to 1969, Kennedy Half Dollars were composed of 40% silver clad. All circulating halves with later dates are made of cupronickel and are only worth 50c