32,761

Number
$32 \, 761$ (thirty-two thousand, seven hundred and sixty-one) is:


 * $181^2$


 * The $3$rd centered hexagonal number after $1, 169$ which is also square:
 * $32 \, 761 = 105^3 - 104^3 = 181^2$


 * The $105$th centered hexagonal number:
 * $32 \, 761 = 3 \times 105 \times \paren {105 - 1} + 1 = 105^3 - 104^3$


 * The $181$st square number:
 * $32 \, 761 = 181 \times 181$