The comparative study on the geometric and energetic properties, absorption spectra, and polarizabilities of cagelike ${\text{CuSi}}_{n}$ clusters ($n=9--14$; indicated by $\text{Cu}@{\text{Si}}_{n}$) was performed using the density-functional theory. The influence of a charge on these properties was investigated. The charge has more effect on the geometry of $\text{Cu}@{\text{Si}}_{n}$ ($n=9$, 11, and 13) than $\text{Cu}@{\text{Si}}_{n}$ ($n=10$, 12, and 14). For $n=10--13$, the charge directly leads the neutral geometry to the transition state geometry with one imaginary frequency. The influence of a charge on the overall and relative stabilities of the neutral and charged $\text{Cu}@{\text{Si}}_{n}$ clusters was analyzed based on the binding energy, energy gap, adiabatic electron affinity, adiabatic ionization potential, and second-order energy difference. The charge slightly increases the binding energy by about 0.13 eV. For the charged clusters, those with $n=10$, 12, and 14 still have a higher relative stability than those with $n=9$, 11, and 13. In the visible range, the shape of the absorption spectra is not influenced by a charge. However, the charge results in a blueshift of the absorption spectra. The order of $\text{anion}g\text{neutral}g\text{cation}$ for the static isotropic polarizabilities does not apply to the dynamic isotropic polarizabilities at some optical-field frequencies due to the one-photon resonance, which is based on the absorption spectra and the sum-over-states formula of the polarizabilities. The charge significantly affects the static anisotropic polarizabilities because the charge influences the geometry of the clusters. The charge also influences the resonant behavior of the dynamic polarizabilities due to its effect on the absorption spectra.