DUBAI, Sept 24 (Reuters) - Iran must deal decisively with protests which have swept the country after the death in custody of a woman detained by the Islamic Republic's morality police, President Ebrahim Raisi said on Saturday.

At least 41 people have been killed in the week-long unrest, state television said on Saturday.

The protests broke out in northwestern Iran a week ago at the funeral of Mahsa Amini, a 22-year-old Kurdish woman who died after falling into a coma following her detention in Tehran by morality police enforcing hijab rules on women's dress.

The protests are the largest to sweep the country since demonstrations over fuel prices in 2019, when Reuters reported 1,500 people were killed in a crackdown on protesters - the bloodiest confrontation in the Islamic Republic's history.

State television in Iran, which has accused armed exiled Iranian Kurdish dissidents of involvement in the unrest, said Iranian Revolutionary Guards had fired artillery on bases of Kurdish opposition groups in the Kurdish region of northern Iraq.

On Saturday NetBlocks said Microsoft's (MSFT.O) Skype video calling app was now restricted, the latest such measure after platforms including Instagram, WhatsApp and LinkedIn were targeted.

In an effort to help sustain internet connection, the United States is making exceptions to its sanctions regime on Iran - a move which Tehran said on Saturday was in line with Washington's hostile stance.

"But in some western and northern areas of Tehran and certain provinces rioters destroyed public property," it said, carrying footage of protesters setting fire to garbage bins and a car, marching, and throwing rocks.

The activist Twitter account 1500tasvir carried videos of protests near Tehran university on Saturday.