Number

1,597

1,597 is a prime, odd, a calendar year.

Arithmetic Number Cousin Prime Deficient Number Emirp Fibonacci Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Year

Notable events — 1597 AD

Feb 5 Twenty-six Christians are crucified in Nagasaki.
Oct 26 Korean Admiral Yi Sun-sin wins the Battle of Myeongnyang.
Apr 26 Robert Cecil rises to become Elizabeth I's chief minister.

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: Wednesday
January 1, 1597
Ended on: Wednesday
December 31, 1597
Friday the 13ths: 1
One Friday the 13th this year.
Easter Sunday: April 6
Sunday, April 6, 1597
Decade: 1590s
1590–1599
Century: 16th century
1501–1600
Millennium: 2nd millennium
1001–2000
Years ago: 429
429 years before 2026.

In other calendars

Hebrew: 5357 / 5358 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 1005 / 1006 AH
Lunar calendar; year spans differ from Gregorian.
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: 2140 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 975 / 976 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 1589 / 1590 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 1519 / 1518 Saka
Indian national calendar; year starts in March.

Properties

Parity: Odd
Digit count: 4
Digit sum: 22
Digit product: 315
Digital root: 4
Palindrome: No
Bit width: 11 bits
Reversed: 7,951
Recamán's sequence: a(8,206) = 1,597
Square (n²): 2,550,409
Cube (n³): 4,073,003,173
Divisor count: 2
σ(n) — sum of divisors: 1,598
φ(n) — Euler's totient: 1,596

Primality

1,597 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 1597

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 1,597)

1 × 1597

First multiples

1,597 · 3,194 (double) · 4,791 · 6,388 · 7,985 · 9,582 · 11,179 · 12,776 · 14,373 · 15,970

Sums & aliquot sequence

As a sum of two squares: 21² + 34²

As consecutive integers: 798 + 799

Representations

In words: one thousand five hundred ninety-seven
Ordinal: 1597th
Roman numeral: MDXCVII
Binary: 11000111101
Octal: 3075
Hexadecimal: 0x63D
Base64: Bj0=
One's complement: 63,938 (16-bit)

In other bases

ternary (3) 2012011

quaternary (4) 120331

quinary (5) 22342

senary (6) 11221

septenary (7) 4441

nonary (9) 2164

undecimal (11) 1222

duodecimal (12) b11

tridecimal (13) 95b

tetradecimal (14) 821

pentadecimal (15) 717

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵αφϟζʹ
Mayan (base 20): 𝋣·𝋳·𝋱
Chinese: 一千五百九十七
Chinese (financial): 壹仟伍佰玖拾柒

In other modern scripts

Eastern Arabic ١٥٩٧ Devanagari १५९७ Bengali ১৫৯৭ Tamil ௧௫௯௭ Thai ๑๕๙๗ Tibetan ༡༥༩༧ Khmer ១៥៩៧ Lao ໑໕໙໗ Burmese ၁၅၉၇

Digit at this position in famous constants

π — Pi (π): Digit 1,597 = 3
e — Euler's number (e): Digit 1,597 = 0
φ — Golden ratio (φ): Digit 1,597 = 8
√2 — Pythagoras's (√2): Digit 1,597 = 6
ln 2 — Natural log of 2: Digit 1,597 = 2
γ — Euler-Mascheroni (γ): Digit 1,597 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 1,583 (gap of 14)
Next prime: 1,601 (gap of 4)

Pair status: cousin with 1601.

Unicode codepoint

Arabic Letter Farsi Yeh With Inverted V

U+063D

Other letter (Lo)

UTF-8 encoding: D8 BD (2 bytes).

Lookup U+063D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00063D

RGB(0, 6, 61)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.6.61.

Address: 0.0.6.61
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.6.61

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

Position in π

The digit sequence 1597 first appears in π at position 10,118 of the decimal expansion (the 10,118ordinal-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.

Look up 1597 on Pi Search ↗