The value of a 1965 quarter depends on a few factors, such as its condition, rarity, and any unique features it may have. Here are some things to consider when determining the value of a 1965 quarter:

Condition: The condition of the coin is one of the most important factors in determining its value. Coins that are in excellent condition, with minimal wear and no damage, are typically worth more than coins that are heavily worn or damaged. If the coin has any scratches, dents, or other damage, it will likely be worth less.
Rarity: While the 1965 quarter is not a rare coin in general, there are some specific variations that can be quite valuable. For example, there were a few 1965 quarters that were struck with an error that resulted in a doubling of the date. These coins, known as 1965 doubled-die quarters, can be worth hundreds or even thousands of dollars, depending on their condition.
Mintage: The mintage, or the number of coins produced, can also affect the value of a 1965 quarter. The more coins that were produced, the less valuable each individual coin is likely to be. However, the mintage of the 1965 quarter was quite high, so this factor may not have a significant impact on the value of the coin.
Silver content: Prior to 1965, quarters were made from 90% silver and 10% copper. However, in 1965, the U.S. Mint switched to a composition of 75% copper and 25% nickel. This means that 1965 quarters do not contain any silver, which can affect their value to collectors who are interested in silver coins.
Based on these factors, most 1965 quarters are not worth a significant amount of money. If the coin is in excellent condition and has no damage, it may be worth a few dollars to collectors who are looking to complete a set of quarters from that year. However, if the coin has any damage or is heavily worn, it may not be worth much more than its face value of 25 cents.
On the other hand, if you have a 1965 doubled-die quarter, it could be worth a significant amount of money. These coins are quite rare and are highly sought after by collectors. Depending on the condition of the coin, a 1965 doubled-die quarter could be worth hundreds or even thousands of dollars.
In summary, while most 1965 quarters are not worth a significant amount of money, there are some specific variations, such as the 1965 doubled-die quarter, that can be quite valuable. If you have a 1965 quarter and you are curious about its value, it is best to have it appraised by a professional coin dealer or appraiser.