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Number

1,697

1,697 is a prime, odd, a calendar year.

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

Notable events — 1697 AD

  1. Sep 20 The Treaty of Ryswick ends the Nine Years' War.
  2. Sep 11 Eugene of Savoy crushes the Ottomans at Zenta.
  3. Mar 9 Peter the Great begins his Grand Embassy to Western Europe.

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
Tuesday
January 1, 1697
Ended on
Tuesday
December 31, 1697
Friday the 13ths
2
2 Friday the 13ths this year.
Easter Sunday
April 7
Sunday, April 7, 1697
Decade
1690s
1690–1699
Century
17th century
1601–1700
Millennium
2nd millennium
1001–2000
Years ago
329
329 years before 2026.

In other calendars

Hebrew
5457 / 5458 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
1108 / 1109 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Fire zodiac:Ox
Sexagenary cycle position 14 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
2240 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
1075 / 1076 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1689 / 1690 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1619 / 1618 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
11 bits
Reversed
7,961
Recamán's sequence
a(962) = 1,697
Square (n²)
2,879,809
Cube (n³)
4,887,035,873
Divisor count
2
σ(n) — sum of divisors
1,698
φ(n) — Euler's totient
1,696

Primality

1,697 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1697
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,697)
1 × 1697
First multiples
1,697 · 3,394 (double) · 5,091 · 6,788 · 8,485 · 10,182 · 11,879 · 13,576 · 15,273 · 16,970

Sums & aliquot sequence

As a sum of two squares: 4² + 41²
As consecutive integers: 848 + 849

Representations

In words
one thousand six hundred ninety-seven
Ordinal
1697th
Roman numeral
MDCXCVII
Binary
11010100001
Octal
3241
Hexadecimal
0x6A1
Base64
BqE=
One's complement
63,838 (16-bit)
In other bases
ternary (3) 2022212
quaternary (4) 122201
quinary (5) 23242
senary (6) 11505
septenary (7) 4643
nonary (9) 2285
undecimal (11) 1303
duodecimal (12) b95
tridecimal (13) a07
tetradecimal (14) 893
pentadecimal (15) 782

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αχϟζʹ
Mayan (base 20)
𝋤·𝋤·𝋱
Chinese
一千六百九十七
Chinese (financial)
壹仟陸佰玖拾柒
In other modern scripts
Eastern Arabic ١٦٩٧ Devanagari १६९७ Bengali ১৬৯৭ Tamil ௧௬௯௭ Thai ๑๖๙๗ Tibetan ༡༦༩༧ Khmer ១៦៩៧ Lao ໑໖໙໗ Burmese ၁၆၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,697 = 1
e — Euler's number (e)
Digit 1,697 = 7
φ — Golden ratio (φ)
Digit 1,697 = 0
√2 — Pythagoras's (√2)
Digit 1,697 = 4
ln 2 — Natural log of 2
Digit 1,697 = 5
γ — Euler-Mascheroni (γ)
Digit 1,697 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,693 (gap of 4)
  • Next prime: 1,699 (gap of 2)

Pair status: twin with 1699, cousin with 1693.

Unicode codepoint
ڡ
Arabic Letter Dotless Feh
U+06A1
Other letter (Lo)

UTF-8 encoding: DA A1 (2 bytes).

Hex color
#0006A1
RGB(0, 6, 161)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.161.

Address
0.0.6.161
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.6.161

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

Position in π

The digit sequence 1697 first appears in π at position 6,193 of the decimal expansion (the 6,193ordinal-suffix:rd 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.