Number

67

67 is a prime, odd, a calendar year.

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

Historical context — 67 AD

Calendar year

AD 67 (LXVII) was a common year starting on Thursday of the Julian calendar.

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Historical context — 67 BC

Calendar year

Year 67 BC was a year of the pre-Julian Roman 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: Saturday
January 1, 67
Ended on: Saturday
December 31, 67
Friday the 13ths: 1
One Friday the 13th this year.
Decade: 60s
60–69
Century: 1st century
1–100
Millennium: 1st millennium
1–1000
Years ago: 1,959
1959 years before 2026.

In other calendars

Hebrew: 3827 / 3828 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Rabbit
Sexagenary cycle position 4 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 610 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 59 / 60 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): -11 / -12 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 2
Digit sum: 13
Digit product: 42
Digital root: 4
Palindrome: No
Bit width: 7 bits
Reversed: 76
Recamán's sequence: a(93) = 67
Square (n²): 4,489
Cube (n³): 300,763
Divisor count: 2
σ(n) — sum of divisors: 68
φ(n) — Euler's totient: 66

Primality

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

Divisors & multiples

All divisors (2)

1 · 67

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 67)

1 × 67

First multiples

67 · 134 (double) · 201 · 268 · 335 · 402 · 469 · 536 · 603 · 670

Sums & aliquot sequence

As consecutive integers: 33 + 34

Representations

In words: sixty-seven
Ordinal: 67th
Roman numeral: LXVII
Binary: 1000011
Octal: 103
Hexadecimal: 0x43
Base64: Qw==
One's complement: 188 (8-bit)

In other bases

ternary (3) 2111

quaternary (4) 1003

quinary (5) 232

senary (6) 151

septenary (7) 124

nonary (9) 74

undecimal (11) 61

duodecimal (12) 57

tridecimal (13) 52

tetradecimal (14) 4b

pentadecimal (15) 47

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ξζʹ
Mayan (base 20): 𝋣·𝋧
Chinese: 六十七
Chinese (financial): 陸拾柒

In other modern scripts

Eastern Arabic ٦٧ Devanagari ६७ Bengali ৬৭ Tamil ௬௭ Thai ๖๗ Tibetan ༦༧ Khmer ៦៧ Lao ໖໗ Burmese ၆၇

Digit at this position in famous constants

π — Pi (π): Digit 67 = 7
e — Euler's number (e): Digit 67 = 4
φ — Golden ratio (φ): Digit 67 = 5
√2 — Pythagoras's (√2): Digit 67 = 0
ln 2 — Natural log of 2: Digit 67 = 3
γ — Euler-Mascheroni (γ): Digit 67 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 61 (gap of 6)
Next prime: 71 (gap of 4)

Pair status: cousin with 71, sexy with 61.

ASCII character

As an ASCII codepoint, 67 is C. Printable ASCII character C.

Network port

TCP/UDP port 67 is the well-known port for DHCP server — Dynamic Host Configuration Protocol — server.

Hex color

#000043

RGB(0, 0, 67)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.67.

Address: 0.0.0.67
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.67

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