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We theoretically analyze the photon number distribution,entanglement entropy,and Wigner phase-space distribution,considering the finite-dimensional pair coherent state (FDPCS) generated in the nonlinear Bose operator realization.Our results show that the photon number distribution is goveed by the two-mode photon number sum q of the FDPCS,the entanglement of the FDPCS always increases quickly at first and then decreases slowly for any q,and the nonclassicality of the FDPCS for odd q is more stronger than that for even q.