365 (number)

Short description: Natural number

← 364 365 366 →
List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	three hundred sixty-five
Ordinal	365th (three hundred sixty-fifth)
Factorization	5 × 73
Greek numeral	ΤΞΕ´
Roman numeral	CCCLXV
Binary	1011011012
Ternary	1111123
Quaternary	112314
Quinary	24305
Senary	14056
Octal	5558
Duodecimal	26512
Hexadecimal	16D16
Vigesimal	I520
Base 36	A536

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

Mathematics

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

For multiplication, it is calculated as [math]\displaystyle{ 5 \times 73 }[/math]. 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:

[math]\displaystyle{ 365 = 13^2 + 14^2 }[/math]

[math]\displaystyle{ 365 = 10^2 + 11^2 + 12^2 }[/math]

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. Related to this, in Ontario, the driver's license learner's permit used to be called "365" 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". 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.