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(Abridged) In this paper, multi-wavelength data are compiled for a sample of1425 Fermi blazars to calculate their spectral energy distributions (SEDs). Aparabolic function, $\log(\nu F_{\nu}) = P_1(\log\nu - P_2)^2 + P_3,$ is usedfor SED fitting. Synchrotron peak frequency ($\log \nu_p$), spectral curvature($P_1$), peak flux ($\nu_{\rm p}F_{\rm \nu_p}$), and integrated flux ($\nuF_{\nu}$) are successfully obtained for 1392 blazars (461 flat spectrum radioquasars-FSRQs, 620 BL Lacs-BLs and 311 blazars of uncertain type-BCUs, 999sources have known redshifts). Monochromatic luminosity at radio 1.4 GHz,optical R band, X-ray at 1 keV and $\gamma$-ray at 1 GeV, peak luminosity,integrated luminosity and effective spectral indexes of radio to optical($\alpha_{\rm RO}$), and optical to X-ray ($\alpha_{\rm OX}$) are calculated.The "Bayesian classification" is employed to log$\nu_{\rm p}$ in the rest framefor 999 blazars with available redshift and the results show that 3 componentsare enough to fit the $\log\nu_{\rm p}$ distribution, there is no ultra highpeaked subclass. Based on the 3 components, the subclasses of blazars using theacronyms of Abdo et al. (2010a) are classified, and some mutual correlationsare also studied. Conclusions are finally drawn as follows: (1) SEDs aresuccessfully obtained for 1392 blazars. The fitted peak frequencies arecompared with common sources from samples available (Sambruna et al. 1996,Nieppola et al. 2006, 2008, Abdo et al. 2010a). (2) Blazars are classified aslow synchrotron peak sources (LSPs) if $\log\nu_{\rm p}$(Hz) $\leq 14.0$,intermediate synchrotron peak sources (ISPs) if $14.0 < \log\nu_{\rm p}$(Hz)$\leq 15.3$, and high synchrotron peak sources (HSPs) if $\log\nu_{\rm p}$(Hz)$> 15.3$. (3) $\gamma$-ray emissions are strongly correlated with radioemissions. (...)

The Spectral Energy Distributions of Fermi Blazars