1764
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Number
$1764$ (one thousand seven hundred and sixty-four) is:
- $2^2 \times 3^2 \times 7^2$
- The $16$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $324$, $400$, $576$, $784$, $900$, $961$, $1024$, $1296$, $1600$ to be the divisor sum value of some (strictly) positive integer:
- $1764 = \map {\sigma_1} {820}$
- The $42$nd square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $1024$, $1089$, $1156$, $1225$, $1296$, $1369$, $1444$, $1521$, $1600$, $1681$:
- $1764 = 42 \times 42$