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1645 (MDCXLV) was a common year starting on Sunday of the Gregorian calendar and a common year starting on Wednesday of the Julian calendar, the 1645th year of the Common Era (CE) and Anno Domini (AD) designations, the 645th year of the 2nd millennium, the 45th year of the 17th century, and the 6th year of the 1640s decade. As of the start of 1645, the Gregorian calendar was 10 days ahead of the Julian calendar, which remained in localized use until 1923.
| 1645 by topic |
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| Leaders |
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| Births – Deaths |
| Establishments and disestablishments categories |
| Establishments – Disestablishments |
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| Gregorian calendar | 1645 MDCXLV |
| Ab urbe condita | 2398 |
| Armenian calendar | 1094 ԹՎ ՌՂԴ |
| Assyrian calendar | 6395 |
| Balinese saka calendar | 1566–1567 |
| Bengali calendar | 1052 |
| Berber calendar | 2595 |
| English Regnal year | 20 Cha. 1 – 21 Cha. 1 |
| Buddhist calendar | 2189 |
| Burmese calendar | 1007 |
| Byzantine calendar | 7153–7154 |
| Chinese calendar | 甲申年 (Wood Monkey) 4342 or 4135 — to — 乙酉年 (Wood Rooster) 4343 or 4136 |
| Coptic calendar | 1361–1362 |
| Discordian calendar | 2811 |
| Ethiopian calendar | 1637–1638 |
| Hebrew calendar | 5405–5406 |
| Hindu calendars | |
| - Vikram Samvat | 1701–1702 |
| - Shaka Samvat | 1566–1567 |
| - Kali Yuga | 4745–4746 |
| Holocene calendar | 11645 |
| Igbo calendar | 645–646 |
| Iranian calendar | 1023–1024 |
| Islamic calendar | 1054–1055 |
| Japanese calendar | Shōhō2 (正保2年) |
| Javanese calendar | 1566–1567 |
| Julian calendar | Gregorian minus 10 days |
| Korean calendar | 3978 |
| Minguo calendar | 267 before ROC 民前267年 |
| Nanakshahi calendar | 177 |
| Thai solar calendar | 2187–2188 |
| Tibetan calendar | 阳木猴年 (male Wood-Monkey) 1771 or 1390 or 618 — to — 阴木鸡年 (female Wood-Rooster) 1772 or 1391 or 619 |
