A Long Island teacher accused of sexually harassing her male colleagues was called “toucher” instead of “teacher” by creeped-out students, three grads told The Post on Monday.

The teens said Cecilia Sanossian, 51, routinely subjected them to unwanted massages and other sexually charged conduct inside Valley Stream North High School.

“If I raised my hand to answer a question, she would say, ‘Good job’ and rub circles on my back and just linger there,” said Jesse DiMeglio, 18.

Another recent grad, Peter Wilk, said the married mom of two targeted him while he discussed dropping one of her social studies classes.

“She was rubbing my back and calling me ‘sweetie,’ and it definitely felt weird,” said Wilk, 18.

The college-bound young men said Sanossian’s bizarre behavior included hopping onto their desks and striking provocative poses in tight-fitting skirts.

“She would sit on my desk, leaning forward with her hands behind her on the desk and just have her butt in your face,” DiMeglio said.

Michael Antonucci, 18, said Sanossian “made inappropriate comments all the time.”

Antonucci and DiMeglio both said they told other teachers about Sanossian’s outrageous antics but nothing ever happened.

As first reported by The Post, Valley Stream North teachers John Brennan and Al Daddino filed complaints Monday with the state Division of Human Rights alleging that Sanossian sexually harassed them “via physical touching and inappropriate comments.”

School district Superintendent Bill Heidenreich said officials were conducting “an internal investigation” into the teachers’ allegations.

Sanossian didn’t return messages.

Additional reporting by Lorena Mongelli