  We establish the existence, uniqueness and exponential attraction properties
of an invariant measure for the MHD equations with degenerate stochastic
forcing acting only in the magnetic equation. The central challenge is to
establish time asymptotic smoothing properties of the associated Markovian
semigroup corresponding to this system. Towards this aim we take full advantage
of the characteristics of the advective structure to discover a novel
H\"ormander-type condition which only allows for several noises in the magnetic
direction.
