4356

Number
$4356$ (four thousand, three hundred and fifty-six) is:


 * $2^2 \times 3^2 \times 11^2$


 * The sum of the first $11$ cubes:
 * $4356 = 1^3 + 2^3 + 3^3 + 4^3 + 5^3 + 6^3 + 7^3 + 8^3 + 9^3 + 10^3 + 11^3$


 * The $25$th square number after $1$, $4$, $36$, $121$, $144$, $256$, $\ldots$, $1936$, $2304$, $2704$, $2916$, $3136$, $3600$, $3844$, $4096$ to be the $\sigma$ (sigma) value of some (strictly) positive integer:
 * $4356 = \map \sigma {1782} = \map \sigma {2410} = \map \sigma {2902} = \map \sigma {4097}$


 * The $66$th square number after $1$, $4$, $9$, $16$, $25$, $36$, $\ldots$, $3249$, $3364$, $3481$, $3600$, $3721$, $3844$, $3969$, $4096$, $4225$:
 * $4356 = 66 \times 66$


 * $2/3$ times its reversal:
 * $4356 \times \dfrac 3 2 = 6534$