A search for the Higgs boson in final states with one, two or three isolated photons has been performed based on data taken at LEP 2 by the DELPHI detector. The data analysed correspond to a total integrated luminosity of 67.5 pb−1 at centre-of-mass energies of 161 GeV (9.7 pb−1), 172 GeV (10.1 pb−1) and 183 GeV (47.7 pb−1). No evidence for the processes e+e−→Hγ with View the MathML source or γγ and View the MathML source with H→γγ was observed. Model-independent limits on View the MathML source, View the MathML source and σ(e+e−→Hγ)×BR(H→γγ) are set, as well as model-dependent limits on Higgs boson anomalous couplings to vector bosons.