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.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgUb8DzXFS36QDmm794sQwdRQ6cAdmUI9vS1f7v3DbAh6CmGR6AdIbmR6hG-znY5XrUwOC5d6uDH-jRe_RMt4qCONqQJCT5nmT88OGq7M9T9aXzbzB6W78Lr4s1FQNY0fVnUx8N7uT55k0/s200/n0353.jpg)
Source: Prime Curios!
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