  In this article, we characterize plurisubharmonic functions of Lelong number
one at the origin, such that the germ of the associated multiplier ideal sheaf
is nontrivial: in arbitrary complex dimension, their singularity must be the
sum of a germ of smooth divisor and of a plurisubharmonic function with zero
Lelong number. We also present a new proof of the related well known
integrability criterion due to Skoda.
