If the director determines the petition is properly filed and if the office is not vacant, the director shall prepare the ballot and shall call a special election to be held on a date not less than 60, nor more than 90, days after the date that notification is given that the petition was properly filed. If a primary or general election is to be held not less than 60, nor more than 90, days after the date that notification is given that the petition was properly filed, the special election shall be held on the date of the primary or general election.