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!