A tire having a radial carcass reinforcement, having at least one layer of reinforcing elements, said tire comprising a crown reinforcement, which is itself covered radially with a tread, said tread being joined to two beads via two sidewalls, at least one layer of reinforcing elements of the radial carcass reinforcement being anchored in each of the beads by an upturn around a bead wire, said radial carcass reinforcement upturn being reinforced by at least one stiffener comprising a layer of reinforcing elements, at least the end of the radial carcass reinforcement upturn being separated from the stiffener by at least one layer of polymer blend, wherein the reinforcing elements of at least one stiffener are non-wrapped metal cords with saturated layers, having, in what is called the permeability test, a flow rate of less than 5 cm3/min and wherein the modulus of elasticity of the at least one layer of polymer blend in contact with the carcass reinforcement upturn and separating the stiffener from the end of the carcass reinforcement upturn is greater than 4 MPa.