More than a third of people who voted for the Scottish National party in the general election say they are more likely to vote for Labour now Jeremy Corbyn is the leader, according to a poll.

The survey suggests Corbyn’s victory could revive Labour’s prospects in Scotland after it was wiped out by the SNP, which won 56 of the country’s 59 seats in May, while Labour was reduced to a single MP.

The Labour leader will be hoping his anti-austerity message and opposition to renewing the UK’s Trident nuclear deterrent will win back many of the 300,000 former Labour voters who switched to the SNP. That party’s leader, Nicola Sturgeon, urged Corbyn on Friday to ally Labour with her party over the two issues.

But the poll also suggests Corbyn remains a divisive figure within Labour. Around 37% of Labour voters said they were less likely to back the party at the next election, and a fifth said they were more likely to vote Conservative.

In addition, nearly three-quarters of the 2,000 people surveyed by the ORB for the Independent said they did not believe he looked like a prime minister-in-waiting, while more than half said they believed Labour was less electable under Corbyn than it was four months ago under Ed Miliband.

People in Scotland, Wales and the north-east of England, as well as in London, were more likely to regard Labour as more electable under Corbyn.

Corbyn has had a bruising first week as leader, suffering an exodus of previous shadow ministers, accusations of sexism over their replacements, and a media storm over his decision not to sing the national anthem.

The criticism was tempered by a broadly positive reaction to his approach to prime minister’s questions, at which he put questions from the public to David Cameron.