More than half of Americans think President Trump is a racist — and think his policies have made things worse for African-Americans, Hispanics and Muslims, according to a new survey.

A poll by the AP-NORC Center for Public Affairs Research found that 57 percent think the president’s policies have been bad for Muslims and 56 percent think they’ve been bad for Hispanics.

Forty-seven percent — including three-quarters of blacks — think they’ve been bad for African-Americans.

Meanwhile, 57 percent of all adults — including more than 8 in 10 blacks, three-quarters of Hispanics and almost half of whites — said they think Trump is racist.

Eighty-five percent of Democrats believe Trump racist, but only 21 percent of Republicans agree.

The findings highlight a country sharply divided on racial issues during the presidency of Trump, who has made incendiary comments after a white nationalist rally, called African nations “shitholes,” and promised to erect a wall along the Mexican border.

When asked recently what he thinks about Americans who believe he is racist, Trump replied: “No, no. I am not a racist.”

“I am the least racist person you have ever interviewed. That I can tell you,” he told reporters.

The poll shows profound pessimism among African-Americans about the state of politics and the country.

It finds that more than 9 in 10 of blacks disapprove of how Trump is handling his job as commander-in-chief, 9 in 10 think the US is headed in the wrong direction, and three-quarters think that direction has worsened in the last year.

By comparison, 45 percent of whites approve of Trump’s performance, but only 35 percent think the direction of the country is improving.

About half of all Americans — including two-thirds of African-Americans — believe race relations in the country have worsened in the past year, according to the findings.

“Everybody appears to have gotten angry and they are looking at each other differently,” said Terri Jordan, 58, a black resident of Washington, DC. “I think that’s just a bad thing. We can’t progress that way.”

Jordan said she strongly believed Trump was “racist” based on his comments about Mexican immigrants and his slow response to neo-Nazis rallying in Charlottesville, Va., last year.

Trump kicked off his presidential campaign with harsh words for Mexico.

“They are not our friend, believe me,” he said. “They’re bringing drugs. They’re bringing crime. They’re rapists. And some, I assume, are good people.”

Among the poll’s other findings:

Just over half of all Americans — 51 percent, including 79 percent of blacks and 44 percent of whites — think blacks continue to face obstacles to getting ahead in the US.

Twenty-two percent think blacks actually have advantages and 26 percent think race makes no difference in getting ahead.

Majorities also think Muslims (60 percent), immigrants (59 percent), LGBT people (52 percent) and Hispanics (51 percent) face disadvantages in society, while close to half (45 percent) think women face similar hurdles.

Seventy-three percent of Democrats and 14 percent of Republicans think Trump’s policies have been harmful to African-Americans, while 78 percent of Democrats and 25 percent of Republicans think they’ve been harmful to Hispanics.

The poll of 1,337 adults was conducted Feb. 15-19 and has a margin of sampling error of plus or minus 3.9 percentage points.