353 is a prime number from 301-400. 353 has 2 factors, 1 and 353. It is the 71st prime number, and the ninth prime number from 301-400.

Proofs[]
Relationship with other odd numbers[]
The numbers before[]
- The previous prime number is 349.
- 349 and 353 are four numbers apart; therefore, they are cousin primes.
- The previous prime number before 349 is 347.
- 347 and 353 are six numbers apart; therefore, they are sexy primes.
- 351 is a multiple of 3.
The numbers after[]
- The next prime number is 359.
- 353 and 359 are four numbers apart; therefore, they are sexy primes.
- 357 is a multiple of 3.
- 367 is the next prime number after 359.
- Notably, 361 is a square number, being 192 = 361.