37 (number)

37 (thirty-seven) is the natural number following 36 and preceding 38.

In mathematics

It is a prime number, the fifth lucky prime, the first irregular prime, the third unique prime and the third cuban prime of the form

Failed to parse (Missing texvc executable; please see math/README to configure.): p = \frac{x^3 - y^3}{x - y} \qquad \left(x = y + 1\right).

It is a factor of all 3-digit base 10 repdigits, such as 111. 37 is the smallest prime that is not also a supersingular prime. It is a centered hexagonal number and a star number.

37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits.

Every positive integer is the sum of at most 37 fifth powers (see Waring's problem).

37 appears in the Padovan sequence, preceded by the terms 16, 21, and 28 (it is the sum of the first two of these).

Since the greatest prime factor of 37² + 1 = 1370 is 137, which is obviously more than 37 twice, 37 is a Størmer number.

Messier object M37, a magnitude 6.0 open cluster in the constellation Auriga
The New General Catalogue object NGC 37, a spiral galaxy in the constellation Phoenix
The Saros number of the solar eclipse series which began on -1794 June 25 and ended on -496 August 12. The duration of Saros series 37 was 1298.1 years, and it contained 73 solar eclipses.
The Saros number of the lunar eclipse series which began on -1492 April 3 and ended on -194 May 22. The duration of Saros series 37 was 1298.1 years, and it contained 73 lunar eclipses.

House number in Baarle (Belgian part)

Thirty-seven is:

The number 666 (number) divided by its digits added together [37=666/(6+6+6)]
The number of the French department Indre-et-Loire
The number of slots in European Roulette
I-37 is the designation for a US interstate highway in Texas, running from San Antonio to Corpus Christi.
+37 was the international dialing code of the German Democratic Republic (aka East Germany). Today the +37 prefix is shared by Lithuania (+370), Latvia (+371), Estonia (+372), Moldavia (+373), Armenia (+374), Belarus (+375), Andorra (+376), Monaco (+377), San Marino (+378) and Vatican City (+379).
The number of men Veronica had been revealed to have performed fellatio on in the film Clerks, and a number which has turned up in Kevin Smith's other films as a result of this fact.