Number

1,667

1,667 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Odious Number Pernicious Number Prime Recamán's Sequence Squarefree Twin Prime Year

Notable events — 1667 AD

Jul 31 The Treaty of Breda ends the Second Anglo-Dutch War; the Dutch keep Suriname and the English keep New York.
Jun 9 Dutch raid on the Medway humiliates the English fleet.
May 24 France invades the Spanish Netherlands in the War of Devolution.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

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: Saturday
January 1, 1667
Ended on: Saturday
December 31, 1667
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 10
Sunday, April 10, 1667
Decade: 1660s
1660–1669
Century: 17th century
1601–1700
Millennium: 2nd millennium
1001–2000
Years ago: 359
359 years before 2026.

In other calendars

Hebrew: 5427 / 5428 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1077 / 1078 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Fire zodiac:Goat
Sexagenary cycle position 44 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 2210 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 1045 / 1046 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1659 / 1660 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1589 / 1588 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 20
Digit product: 252
Digital root: 2
Palindrome: No
Bit width: 11 bits
Reversed: 7,661
Recamán's sequence: a(802) = 1,667
Square (n²): 2,778,889
Cube (n³): 4,632,407,963
Divisor count: 2
σ(n) — sum of divisors: 1,668
φ(n) — Euler's totient: 1,666

Primality

1,667 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1667

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,667)

1 × 1667

First multiples

1,667 · 3,334 (double) · 5,001 · 6,668 · 8,335 · 10,002 · 11,669 · 13,336 · 15,003 · 16,670

Sums & aliquot sequence

As consecutive integers: 833 + 834

Representations

In words: one thousand six hundred sixty-seven
Ordinal: 1667th
Roman numeral: MDCLXVII
Binary: 11010000011
Octal: 3203
Hexadecimal: 0x683
Base64: BoM=
One's complement: 63,868 (16-bit)

In other bases

ternary (3) 2021202

quaternary (4) 122003

quinary (5) 23132

senary (6) 11415

septenary (7) 4601

nonary (9) 2252

undecimal (11) 1286

duodecimal (12) b6b

tridecimal (13) 9b3

tetradecimal (14) 871

pentadecimal (15) 762

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αχξζʹ
Mayan (base 20): 𝋤·𝋣·𝋧
Chinese: 一千六百六十七
Chinese (financial): 壹仟陸佰陸拾柒

In other modern scripts

Eastern Arabic ١٦٦٧ Devanagari १६६७ Bengali ১৬৬৭ Tamil ௧௬௬௭ Thai ๑๖๖๗ Tibetan ༡༦༦༧ Khmer ១៦៦៧ Lao ໑໖໖໗ Burmese ၁၆၆၇

Digit at this position in famous constants

π — Pi (π): Digit 1,667 = 1
e — Euler's number (e): Digit 1,667 = 5
φ — Golden ratio (φ): Digit 1,667 = 8
√2 — Pythagoras's (√2): Digit 1,667 = 5
ln 2 — Natural log of 2: Digit 1,667 = 8
γ — Euler-Mascheroni (γ): Digit 1,667 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,663 (gap of 4)
Next prime: 1,669 (gap of 2)

Pair status: twin with 1669, cousin with 1663.

Unicode codepoint

Arabic Letter Nyeh

U+0683

Other letter (Lo)

UTF-8 encoding: DA 83 (2 bytes).

Lookup U+0683 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000683

RGB(0, 6, 131)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.131.

Address: 0.0.6.131
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.131

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

Position in π

The digit sequence 1667 first appears in π at position 10,496 of the decimal expansion (the 10,496ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1667 on Pi Search ↗