Answer
3095.2 K
Work Step by Step
Peak frequency = 1.82 $\times 10^{14}$ Hz
The surface temperature can be given by Wien's Displacement Law, which says
$f_{peak}$ = 5.88 X $10^{10}$ X T, where T is in kelvins. So
1.82 X $10^{14}$ = 5.88 X $10^{10}$ X T
T = 3095.2 K.