Abstract: In this paper the 9 days meaned series of the dayly international sunspot numbers from 1932-1982 are used to analyse the dynamical properties of the sunspots evolution. It is concluded that the sunspot is a complex dynamical system which should be described by at least seven independent variables, and that its correlation dimension is 6.3 ± 0.1, the 2-order Renyi entropy and the maximum Lyapunov exponent are respectively (0.37 ±0.02) bit/yr. The predictable time scales that they indicate, namely, the time for initial error becoming 2 times larger, are (2.7±0.2) years and (2.9±0.1) years, respectively.