  \emph{Wide-field Infrared Survey Explorer} all-sky survey has discovered a
new population of hot dust-obscured galaxies (Hot DOGs), which has been
confirmed to be dusty quasars. Previous statistical studies have found
significant overdensities of sub-millimeter and mid-IR selected galaxies around
Hot DOGs, indicating they may reside in dense regions. Here we present the
near-infrared ($J$ and $K_s$ bands) observations over a $7.5'\times 7.5'$ field
centered on a Hot DOG W1835$+$4355 at $z \sim 2.3$ using the wide-field
infrared camera on the Palomar 200-inch telescope. We use the color criterion
$J-K_s>2.3$ for objects with $K_s<20$, to select Distant Red Galaxies (DRGs).
We find a significant excess of number density of DRGs in W1835$+$4355 field
compared to three control fields, by a factor of about 2. The overdensity of
red galaxies around W1835$+$4355 are consistent with the multi-wavelength
environment of Hot DOGs, suggesting that Hot DOGs may be a good tracer for
dense regions at high redshift. We find that W1835$+$4355 do not reside in the
densest region of the dense environment traced by itself. A possible scenario
is that W1835$+$4355 is undergoing merging process, which lowers the local
number density of galaxies in its surrounding region.
