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Number

1,061

1,061 is a prime, odd, a calendar year.

Arithmetic Number Chen Prime Deficient Number Emirp Evil Number Flippable Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime Year

Historical context — 1061 AD

Calendar year

Year 1061 (MLXI) was a common year starting on Monday 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
Tuesday
January 1, 1061
Ended on
Tuesday
December 31, 1061
Friday the 13ths
2
2 Friday the 13ths this year.
Decade
1060s
1060–1069
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
965
965 years before 2026.

In other calendars

Hebrew
4821 / 4822 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
452 / 453 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Metal zodiac:Ox
Sexagenary cycle position 38 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1604 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
439 / 440 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1053 / 1054 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
983 / 982 Saka
Indian national calendar; year starts in March.

Properties

Parity
Odd
Digit count
4
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
11 bits
Reversed
1,601
Flips to (rotate 180°)
1,901
Recamán's sequence
a(4,297) = 1,061
Square (n²)
1,125,721
Cube (n³)
1,194,389,981
Divisor count
2
σ(n) — sum of divisors
1,062
φ(n) — Euler's totient
1,060

Primality

1,061 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1061
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,061)
1 × 1061
First multiples
1,061 · 2,122 (double) · 3,183 · 4,244 · 5,305 · 6,366 · 7,427 · 8,488 · 9,549 · 10,610

Sums & aliquot sequence

As a sum of two squares: 10² + 31²
As consecutive integers: 530 + 531

Representations

In words
one thousand sixty-one
Ordinal
1061st
Roman numeral
MLXI
Binary
10000100101
Octal
2045
Hexadecimal
0x425
Base64
BCU=
One's complement
64,474 (16-bit)
In other bases
ternary (3) 1110022
quaternary (4) 100211
quinary (5) 13221
senary (6) 4525
septenary (7) 3044
nonary (9) 1408
undecimal (11) 885
duodecimal (12) 745
tridecimal (13) 638
tetradecimal (14) 55b
pentadecimal (15) 4ab

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵αξαʹ
Mayan (base 20)
𝋢·𝋭·𝋡
Chinese
一千零六十一
Chinese (financial)
壹仟零陸拾壹
In other modern scripts
Eastern Arabic ١٠٦١ Devanagari १०६१ Bengali ১০৬১ Tamil ௧௦௬௧ Thai ๑๐๖๑ Tibetan ༡༠༦༡ Khmer ១០៦១ Lao ໑໐໖໑ Burmese ၁၀၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 1,061 = 9
e — Euler's number (e)
Digit 1,061 = 9
φ — Golden ratio (φ)
Digit 1,061 = 4
√2 — Pythagoras's (√2)
Digit 1,061 = 2
ln 2 — Natural log of 2
Digit 1,061 = 2
γ — Euler-Mascheroni (γ)
Digit 1,061 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 1,051 (gap of 10)
  • Next prime: 1,063 (gap of 2)

Pair status: twin with 1063.

Unicode codepoint
Х
Cyrillic Capital Letter Ha
U+0425
Uppercase letter (Lu)

UTF-8 encoding: D0 A5 (2 bytes).

Hex color
#000425
RGB(0, 4, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.37.

Address
0.0.4.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.37

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

Position in π

The digit sequence 1061 first appears in π at position 43,971 of the decimal expansion (the 43,971ordinal-suffix:st 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.