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Number

1,097

1,097 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Year

Historical context — 1097 AD

Calendar year

Year 1097 (MXCVII) was a common year starting on Thursday of the Julian calendar.

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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
Friday
January 1, 1097
Ended on
Friday
December 31, 1097
Friday the 13ths
1
One Friday the 13th this year.
Decade
1090s
1090–1099
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
929
929 years before 2026.

In other calendars

Hebrew
4857 / 4858 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
490 / 491 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
1640 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
475 / 476 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1089 / 1090 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
1019 / 1018 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
7,901
Recamán's sequence
a(302) = 1,097
Square (n²)
1,203,409
Cube (n³)
1,320,139,673
Divisor count
2
σ(n) — sum of divisors
1,098
φ(n) — Euler's totient
1,096

Primality

1,097 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1097
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,097)
1 × 1097
First multiples
1,097 · 2,194 (double) · 3,291 · 4,388 · 5,485 · 6,582 · 7,679 · 8,776 · 9,873 · 10,970

Sums & aliquot sequence

As a sum of two squares: 16² + 29²
As consecutive integers: 548 + 549

Representations

In words
one thousand ninety-seven
Ordinal
1097th
Roman numeral
MXCVII
Binary
10001001001
Octal
2111
Hexadecimal
0x449
Base64
BEk=
One's complement
64,438 (16-bit)
In other bases
ternary (3) 1111122
quaternary (4) 101021
quinary (5) 13342
senary (6) 5025
septenary (7) 3125
nonary (9) 1448
undecimal (11) 908
duodecimal (12) 775
tridecimal (13) 665
tetradecimal (14) 585
pentadecimal (15) 4d2

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵αϟζʹ
Mayan (base 20)
𝋢·𝋮·𝋱
Chinese
一千零九十七
Chinese (financial)
壹仟零玖拾柒
In other modern scripts
Eastern Arabic ١٠٩٧ Devanagari १०९७ Bengali ১০৯৭ Tamil ௧௦௯௭ Thai ๑๐๙๗ Tibetan ༡༠༩༧ Khmer ១០៩៧ Lao ໑໐໙໗ Burmese ၁၀၉၇

Digit at this position in famous constants

π — Pi (π)
Digit 1,097 = 1
e — Euler's number (e)
Digit 1,097 = 0
φ — Golden ratio (φ)
Digit 1,097 = 3
√2 — Pythagoras's (√2)
Digit 1,097 = 8
ln 2 — Natural log of 2
Digit 1,097 = 1
γ — Euler-Mascheroni (γ)
Digit 1,097 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,093 (gap of 4)
  • Next prime: 1,103 (gap of 6)

Pair status: cousin with 1093, sexy with 1103.

Unicode codepoint
щ
Cyrillic Small Letter Shcha
U+0449
Lowercase letter (Ll)

UTF-8 encoding: D1 89 (2 bytes).

Hex color
#000449
RGB(0, 4, 73)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.73.

Address
0.0.4.73
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.73

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

Position in π

The digit sequence 1097 first appears in π at position 206 of the decimal expansion (the 206ordinal-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.