1936

Number
$1936$ (one thousand nine hundred and thirty-six) is:


 * $2^4 \times 11^2$


 * The $17$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $324$, $400$, $576$, $784$, $900$, $961$, $1024$, $1296$, $1600$, $1764$ to be the divisor sum value of some (strictly) positive integer:
 * $1936 = \map {\sigma_1} {1687}$


 * The $39$th positive integer which cannot be expressed as the sum of a square and a prime:
 * $1$, $10$, $25$, $34$, $58$, $64$, $85$, $\ldots$, $1255$, $1351$, $1414$, $1444$, $1521$, $1681$, $1849$, $1906$, $1936$, $\ldots$


 * The $44$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $1296$, $1369$, $1444$, $1521$, $1600$, $1681$, $1764$, $1849$:
 * $1936 = 44 \times 44$