If you ever thought your subway car was full of crazies off their meds, odds are you were right.

Newly released city statistics show that one out of every 20 adults in New York is seriously mentally ill, and many are not getting treatment for their disorders.

A first-ever Health Department analysis reveals that 239,000 people are suffering from mental problems such as schizophrenia, bipolar disorder and major depression, and 40 percent of them have not seen a doctor recently, the Health Department says.

That means more than 92,000 mentally ill citizens — including some with violent tendencies — are untreated, and some could harm themselves or others.

The list of mentally ill people who have committed violent crimes includes people such as Terrance Hale, 29, who had a history of schizophrenia before he stabbed a police officer in the head in 2012. West Spruill, who allegedly raped and killed a social worker in The Bronx in April, also had a long history of mental illness.

“We don’t have information on rates of violence for this population, but we do know that people with SMI [severe mental illness] are at greater risk than the general population in being victims of violence,” a Health Department spokesperson told The Post.

First Lady Chirlane McCray is heading the de Blasio administration’s initiative to bolster access to mental-health services for New Yorkers.

The city will boost spending for mental-health programs by $55.4 million in the upcoming fiscal year and by $78.3 million in 2017.

“Mental illness doesn’t discriminate when it comes to income level — we are equally susceptible. But when it comes to getting treatment, the most vulnerable New Yorkers have the fewest options. That has to change,” McCray said.

The estimates are culled from data in the city’s 2012 Community Mental Health Survey.

The new plan increases funding to expand mental services in homeless shelters, for domestic-violence victims, students in public schools and teens in foster care.