# 365 (number)

365 (three hundred [and] sixty-five) is the natural number following 364 and preceding 366.

 ← 364 365 366 →
Cardinalthree hundred sixty-five
Ordinal365th
(three hundred sixty-fifth)
Factorization5 × 73
Greek numeralΤΞΕ´
Roman numeralCCCLXV
Binary1011011012
Ternary1111123
Senary14056
Octal5558
Duodecimal26512

## Mathematics

365 is a semiprime centered square number. It is also the fifth 38-gonal number.

For multiplication, it is calculated as ${\displaystyle 5\times 73}$ . Both 5 and 73 are prime numbers.

It is the smallest number that has more than one expression as a sum of consecutive square numbers:

${\displaystyle 365=13^{2}+14^{2}}$
${\displaystyle 365=10^{2}+11^{2}+12^{2}}$

There are no known primes with period 365, while at least one prime with each of the periods 1 to 364 is known.

## Timekeeping

There are 365.2422 solar days in the mean tropical year. Several solar calendars have a year containing 365 days.[1] Related to this, in Ontario, the driver's license learner's permit used to be called "365"[2][3] because it was valid for only 366 days. Financial and scientific calculations often use a 365-day calendar to simplify daily rates.

## Religious meanings

### Judeo-Christian

In the Jewish faith there are 365 "negative commandments".[4] Also, the Bible states that Enoch lived for 365 years before entering heaven alive (see Genesis 5:23–24).

### Gnosticism

The letters of the deity Abraxas, in the Greek notation, make up the number 365. This number was subsequently viewed as signifying the levels of heaven.[5]

## References

1. ^ Bryan Bunch, The Kingdom of Infinite Number. New York: W. H. Freeman & Company (2000): 169
2. ^ "An American's Guide to Canada: Canadianisms". emily.icomm.ca. Archived from the original on 21 August 1999. Retrieved 22 May 2022.
3. ^ "Archived copy". Archived from the original on 2005-12-07. Retrieved 2006-03-31.{{cite web}}: CS1 maint: archived copy as title (link)
4. ^ "The Commandments - Maimonides". Retrieved 5 May 2015.
5. ^ "CATHOLIC ENCYCLOPEDIA: Abrasax". Retrieved 5 May 2015.