Hello aspirant, . according to previous year cut-off under 85% state quota for EWS category,so 582 marks is good marks but it is difficult to get government seat at this marks.
However this year cut-off marks will decrease as this year NEET paper was tough then you may have chances regarding this otherwise there is possibility of private colleges through State Quota.

Go this link for college prediction
https://medicine.careers360.com/neet-college-predictor?utm_source=qna&utm_medium=neet_cp

Goodluck!

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