353

353 is a prime number.

353 has a representation as a sum of two squares: 353 = 8² + 17².

353 is the hypotenuse of a primitive Pythagorean triple: 353² = 225² + 272².

353 is the smallest multidigit palindromic prime whose digits are all prime numbers.

666 is the sum of two consecutive palindromic primes: 313 + 353 = 666.

353 is the smallest prime for which its fourth power can be written as the sum of four integers to the fourth power: 353⁴ = 30 ⁴ + 120 ⁴ + 272 ⁴ + 315 ⁴.

353 Ruperto-Carola is a small asteroid discovered by Max Wolf in 1893 in Heidelberg.

Source: Prime Curios!

570

570 = 2 x 3 x 5 x 19.

570 is the product of the only four prime Roman numeral palindromes: 570 = II x III x V x XIX.

570 is a triangular matchstick number, 3n(n + 1)/2 for n = 19.

570 is the perimeter of a Pythagorean triple: 570 = 95 + 228 + 247 and 247² = 95² + 228².

Muhammad, founder of the Islamic religion, was born in the year 570 in the city of Mecca.

Source: Number Gossip

985

985 = 5 x 197.

985 has two representations as a sum of two squares: 985 = 12² + 29² = 16² + 27².

985 is the hypotenuse of two primitive Pythagorean triples: 985² = 473² + 864² = 696² + 697². It is the fourth Pythagorean triple where two sides are consecutive integers.

985 is the ninth Pell number.

985 is the telephone area code for southeastern Louisiana.

Source: What's Special About This Number?

839

839 is a prime number.

(839 - 8)⁸ + (839 - 3)³ + (839 - 9)⁹ is a prime.

839 is a number that cannot be written as a sum of three squares.

839 has a base 5 representation (11324) that begins with its base 9 representation (1132).

839 is 31013 in base 4.

Charles the Fat, Holy Roman Emperor, was born in the year 839.

Source: Prime Curios!

284

284 = 2² x 71.

284 is a number that cannot be written as a sum of three squares.

284 = 2⁸ + 28.

284 and 220 form a pair of amicable numbers, the smallest amicable pair. Two numbers n and m are called an amicable pair if the sum of all positive divisors of n is equal to the sum of all positive divisors of m and both are equal to n + m.

The Greek mathematician Diophantus died in the year 284.

Source: Number Gossip

792

792 = 2³ x 3² x 11.

792 is 1100011000 in base 2 (binary) and 2211 in base 7.

792 is the number of integer partitions of 21.

792 is a number that can be expressed as the difference of the squares of primes in exactly four distinct ways.

792 is the number of inches in a chain, a unit used in surveying.1 mile = 8 furlongs = 80 chains = 5280 feet = 8000 links = 63,360 inches.

Source: Numeropedia

925

925 = 5² x 37.

925 has three representations as a sum of two squares: 925 = 5² + 30² = 14² + 27² = 21² + 22².

925 is the hypotenuse of two primitive Pythagorean triples: 925² = 43² + 924² = 533² + 756².

925 is 1021021 in base 3 and 4141 in base 6.

925 is a pentagonal number.

Asteroid 925 Alphonsina was discovered in 1920.

Source: Wolfram MathWorld