  We investigate the properties of strangelets at finite temperature $T$, where
an equivparticle model is adopted with both the linear confinement and
leading-order perturbative interactions accounted for using density-dependent
quark masses. The shell effects are examined by solving the Dirac equations for
quarks in the mean-field approximation, which diminish with temperature as the
occupation probability of each single-particle levels fixed by the Fermi-Dirac
statistics, i.e., shell dampening. Consequently, instead of decreasing with
temperature, the surface tension extracted from a liquid-drop formula increases
with $T$ until reaching its peak at $T\approx 20$-40 MeV with vanishing shell
corrections, where the formula roughly reproduces the free energy per baryon of
all strangelets. The curvature term, nevertheless, decreases with $T$ despite
the presence of shell effects. The neutron and proton emission rates are fixed
microscopically according to the external nucleon gas densities that are in
equilibrium with strangelets, which generally increase with $T$ ($\lesssim 50$
MeV) for stable strangelets but decrease for those that are unstable against
nucleon emission at $T=0$. The energy, free energy, entropy, charge-to-mass
ratio, strangeness per baryon, and root-mean-square radius 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.
