Roosevelt took office in 1933, so there would not be any circulating coins with his picture and that date. Living presidents cannot have their image on circulating coins. What you probably have is a medal or token commemorating his inauguration.
It's almost certainly a medal or token. The only U.S. coin with FDR's image is the familiar dime. You'd need to find out whether it's real gold, plated, or some base metal before you could determine a value.
The U.S. Mint has never made a F.D.R. gold coin of any type. The only gold coins dated 1997 made by the mint are American Eagle gold bullion coins.
Franklin Delano Roosevelt Memorial was created on 1997-05-02.
$1.36
It took 3 years to complete the construction of the Franklin Delano Roosevelt Memorial. Construction began in 1994 and the memorial opened in 1997.
The term "5 dollar dime" is confusing. Dimes from 1997 are worth 10¢. If you have a normal Roosevelt dime that has been gold plated, it's still only worth 10 cents. If you are referring to a dime-sized coin that has a $5 denomination, please post a new question indicating the country that issued it and a description of any wording on the coin. That would make it much easier to ID.
franklin D Roosevelt has 6 children
The silver proof 1997-S Kennedy half dollar has an current average value of $15.50.
The coin is only face value.
Franklin - 1997 Franklin Has a Sleepover Franklin's Halloween 1-4 was released on: USA: 13 November 1997
Franklin - 1997 Franklin Fibs Franklin's Blanket 1-6 was released on: USA: 27 November 1997
The original design was in 1997 by Friedrich St. Florian.
In perfect uncirculated condition it is worth $225. In normal used condition, it is worth exactly $100.
It's worth less than a dollar.