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Number

165

165 is a composite number, odd, a calendar year.

Arithmetic Number Deficient Number Evil Number Gapful Number Recamán's Sequence Self Number Sphenic Number Squarefree Tetrahedral Year

Historical context — 165 AD

Calendar year

Year 165 (CLXV) was a common year starting on Monday of the Julian calendar.

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Historical context — 165 BC

Calendar year

Year 165 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Year facts

Year type
Common year
Standard 365-day year; not divisible by 4 (or divisible by 100 but not 400).
Days in year
365
ISO weeks
52
Started on
Tuesday
January 1, 165
Ended on
Tuesday
December 31, 165
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
160s
160–169
Century
2nd century
101–200
Millennium
1st millennium
1–1000
Years ago
1,861
1861 years before 2026.

In other calendars

Hebrew
3925 / 3926 AM
Rosh Hashanah falls in September/October.
Chinese
Year of the zodiac:Wood zodiac:Snake
Sexagenary cycle position 42 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
708 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian
157 / 158 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
87 / 86 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
3
Digit sum
12
Digit product
30
Digital root
3
Palindrome
No
Bit width
8 bits
Reversed
561
Recamán's sequence
a(337) = 165
Square (n²)
27,225
Cube (n³)
4,492,125
Divisor count
8
σ(n) — sum of divisors
288
φ(n) — Euler's totient
80
Sum of prime factors
19

Primality

Prime factorization: 3 × 5 × 11

Nearest primes: 163 (−2) · 167 (+2)

Divisors & multiples

All divisors (8)
1 · 3 · 5 · 11 · 15 · 33 · 55 · 165
Aliquot sum (sum of proper divisors): 123
Factor pairs (a × b = 165)
1 × 165
3 × 55
5 × 33
11 × 15
First multiples
165 · 330 (double) · 495 · 660 · 825 · 990 · 1,155 · 1,320 · 1,485 · 1,650

Sums & aliquot sequence

As consecutive integers: 82 + 83 54 + 55 + 56 31 + 32 + 33 + 34 + 35 25 + 26 + 27 + 28 + 29 + 30
Aliquot sequence: 165 123 45 33 15 9 4 3 1 0 — terminates at zero

Representations

In words
one hundred sixty-five
Ordinal
165th
Roman numeral
CLXV
Binary
10100101
Octal
245
Hexadecimal
0xA5
Base64
pQ==
One's complement
90 (8-bit)
In other bases
ternary (3) 20010
quaternary (4) 2211
quinary (5) 1130
senary (6) 433
septenary (7) 324
nonary (9) 203
undecimal (11) 140
duodecimal (12) 119
tridecimal (13) c9
tetradecimal (14) bb
pentadecimal (15) b0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ρξεʹ
Mayan (base 20)
𝋨·𝋥
Chinese
一百六十五
Chinese (financial)
壹佰陸拾伍
In other modern scripts
Eastern Arabic ١٦٥ Devanagari १६५ Bengali ১৬৫ Tamil ௧௬௫ Thai ๑๖๕ Tibetan ༡༦༥ Khmer ១៦៥ Lao ໑໖໕ Burmese ၁၆၅

Digit at this position in famous constants

π — Pi (π)
Digit 165 = 0
e — Euler's number (e)
Digit 165 = 2
φ — Golden ratio (φ)
Digit 165 = 8
√2 — Pythagoras's (√2)
Digit 165 = 6
ln 2 — Natural log of 2
Digit 165 = 7
γ — Euler-Mascheroni (γ)
Digit 165 = 3

Also seen as

Unicode codepoint
¥
Yen Sign
U+00A5
Currency symbol (Sc)

UTF-8 encoding: C2 A5 (2 bytes).

Hex color
#0000A5
RGB(0, 0, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.165.

Address
0.0.0.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.0.165

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000000165
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.