Number

97

97 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree Year

Historical context — 97 AD

Calendar year

AD 97 (XCVII) was a common year starting on Sunday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Historical context — 97 BC

Calendar year

Year 97 BC was a year of the pre-Julian Roman calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

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, 97
Ended on: Tuesday
December 31, 97
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 90s
90–99
Century: 1st century
1–100
Millennium: 1st millennium
1–1000
Years ago: 1,929
1929 years before 2026.

In other calendars

Hebrew: 3857 / 3858 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Fire zodiac:Rooster
Sexagenary cycle position 34 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 640 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 89 / 90 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 19 / 18 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 2
Digit sum: 16
Digit product: 63
Digital root: 7
Palindrome: No
Bit width: 7 bits
Reversed: 79
Recamán's sequence: a(393) = 97
Square (n²): 9,409
Cube (n³): 912,673
Divisor count: 2
σ(n) — sum of divisors: 98
φ(n) — Euler's totient: 96

Primality

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

Divisors & multiples

All divisors (2)

1 · 97

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 97)

1 × 97

First multiples

97 · 194 (double) · 291 · 388 · 485 · 582 · 679 · 776 · 873 · 970

Sums & aliquot sequence

As a sum of two squares: 4² + 9²

As consecutive integers: 48 + 49

Representations

In words: ninety-seven
Ordinal: 97th
Roman numeral: XCVII
Binary: 1100001
Octal: 141
Hexadecimal: 0x61
Base64: YQ==
One's complement: 158 (8-bit)

In other bases

ternary (3) 10121

quaternary (4) 1201

quinary (5) 342

senary (6) 241

septenary (7) 166

nonary (9) 117

undecimal (11) 89

duodecimal (12) 81

tridecimal (13) 76

tetradecimal (14) 6d

pentadecimal (15) 67

Historical numeral systems

Babylonian (base 60): 𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϟζʹ
Mayan (base 20): 𝋤·𝋱
Chinese: 九十七
Chinese (financial): 玖拾柒

In other modern scripts

Eastern Arabic ٩٧ Devanagari ९७ Bengali ৯৭ Tamil ௯௭ Thai ๙๗ Tibetan ༩༧ Khmer ៩៧ Lao ໙໗ Burmese ၉၇

Digit at this position in famous constants

π — Pi (π): Digit 97 = 7
e — Euler's number (e): Digit 97 = 6
φ — Golden ratio (φ): Digit 97 = 1
√2 — Pythagoras's (√2): Digit 97 = 1
ln 2 — Natural log of 2: Digit 97 = 8
γ — Euler-Mascheroni (γ): Digit 97 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 89 (gap of 8)
Next prime: 101 (gap of 4)

Pair status: cousin with 101.

ASCII character

As an ASCII codepoint, 97 is a. Printable ASCII character a.

Hex color

#000061

RGB(0, 0, 97)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.0.97.

Address: 0.0.0.97
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.0.97

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

US numbered highway

Matches numbered highway designation:

I-97 — Baltimore to Annapolis, MD — shortest signed two-digit Interstate.

Interstate 97 on Wikipedia ↗

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number

000000097

Federal Reserve

United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Look up on FedACH (official) ↗ Search Google for routing number 000000097 ↗