  We investigate the dynamics of neutral and charged test particles around
axially symmetric magnetized black hole spacetime. We consider its
electromagnetic field in the black hole vicinity and study its impact on the
dynamics of test particles. We determine the radius of the innermost stable
circular orbit (ISCO) for neutral and charged test particles and show that the
combined effect of black hole electric charge and magnetic field strongly
affects the ISCO radius, thus shrinking its values. We also show that the ISCO
radius of positively (negatively) charged particle initially gets increased
(decreased) and then gets radically altered with an increase in the value of
both black hole electric charge and test particle charge. It turns out that the
repulsive (attractive) Coulomb force dominates over the Lorentz force arising
from the black hole magnetic field. Typically, black hole rotation causes
axially symmetric spacetime case. Similarly, it turns out that a magnetized
black hole solution also causes axially symmetric spacetime as a consequence of
the presence of magnetic field. We study a degeneracy for the value of the ISCO
between the Kerr and the magnetized Reissner-Nordstr\"{o}m black hole
geometries and show that the combined effects of black hole charge and magnetic
field can be mimicked by Kerr spacetime with the spin parameter up to
$a/M\approx 0.8$. Finally, we consider the center of mass energy of colliding
particles and show that an increase in the values of black hole magnetic field
and electric charge leads to high center of mass energy extracted by collision
of two particles.
