We evaluate the polarizabilities of the 5p 1/2 , 6s, 6p 1/2 , and 6p 3/2 states of In using two different high-precision relativistic methods: linearized coupled-cluster approach where single, double and partial triple excitations of the Dirac-Fock wave function are included to all orders of perturbation theory and an approach that combines the configuration interaction and the coupled-cluster method. Extensive comparison of the accuracy of these methods is carried out. The uncertainties of all recommended values are evaluated. Our result for the 6s−5p 1/2 Stark shift is in excellent agreement with the recent measurement [Ranjit et al., arXiv:1302.0821v1]. Combining our calculation with this precision measurement allows us to infer the values of the 6p 1/2 and 6p 3/2 lifetimes in In with 0.8% accuracy. Our predictions for the 6p 3/2 scalar and tensor polarizabilities may be combined with the future measurement of the 6s − 6p 3/2 Stark shift to accurately determine the lifetimes of the 5dj states.