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Key findings:

DHS identified just over 700,000 overstayers in 2017, a decline of 5 percent from 2016. About 15 percent of those 700,000 have departed, and the rest are believed to have remained in the country.

The largest number of overstays were in the regular short-term visitor category (B-1/B-2). This number grew by about 5 percent from 2016 to 2017.

About 20 percent of the 302,000 B visa overstays in 2017 were from just two countries: 33,759 from Brazil and 30,424 from Venezuela.

The category with the highest overstay rate is student and exchange visitors (F, M, and J visas). This category has twice the overstay rate of most other categories.

About 40 percent of the student/exchange visa overstays in 2017 were from just four countries: China, Saudi Arabia, India, and South Korea.

Eleven countries have student/exchange visa overstay rates of greater than 30 percent.

France and the United Kingdom were the countries with the largest number of Visa Waiver Program (VWP) overstays in 2017, with 16,456 and 25,694 respectively.

Portugal, Hungary, and Greece have the highest overstay rates of all the VWP countries, and have been required to launch public information programs to remind their citizens to comply with our laws.

The highest number of "other" categories of visa overstays in 2017, consisting primarily of guestworker visas, came from India (9,568) and the Philippines (7,075). Together they accounted for 36 percent of the category total.

The number of Indian overstays in the guestworker category grew by 19 percent from 2016 to 2017.

Dozens of countries have overstay rates of more than 30 percent in certain categories.

To make matters worse, the Department of Homeland Security (DHS) overstay rate methodology, which uses admissions rather than individuals, produces a deceptively low overstay rate that does not reflect the true magnitude of the problem.

Canada has the highest number of visa overstays, twice as many as Mexico.