  We study the properties of strangelets at finite temperature $T$, employing
an equivparticle model that incorporates both linear confinement and
leading-order perturbative interactions with density-dependent quark masses.
The shell effects are analyzed by solving the Dirac equations for quarks within
the mean-field approximation. As temperature increases, these effects weaken
due to the occupation probability of single-particle levels being governed by
the Fermi-Dirac statistics, a phenomenon known as shell dampening.
Surprisingly, the surface tension, derived from a liquid-drop formula, does not
decrease with temperature but instead rises until it peaks at $T \approx 20-40$
MeV. At this temperature, shell corrections become negligible, and the formula
provides a reasonable approximation for the free energy per baryon of
strangelets. However, the curvature term decreases with $T$ despite the
presence of shell effects. The neutron and proton emission rates are determined
microscopically by the external nucleon gas densities that are in equilibrium
with strangelets. These emission rate generally increases with $T$ for stable
strangelets, but decrease for those that are unstable to nucleon emission at
$T$ = 0. The other properties of $\beta$-stable strangelets obtained with
various parameter sets are presented as well. The results indicated in this
work are useful for understanding the products of binary compact star mergers
and heavy-ion collisions.
