355361 has 2 divisors, whose sum is σ = 355362. Its totient is φ = 355360.

The previous prime is 355343. The next prime is 355363. The reversal of 355361 is 163553.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309136 + 46225 = 556^2 + 215^2 .

It is a cyclic number.

It is not a de Polignac number, because 355361 - 2⁶ = 355297 is a prime.

Together with 355363, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355361.

It is not a weakly prime, because it can be changed into another prime (355363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 177680 + 177681.

It is an arithmetic number, because the mean of its divisors is an integer number (177681).

2³⁵⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

355361 is a deficient number, since it is larger than the sum of its proper divisors (1).

355361 is an equidigital number, since it uses as much as digits as its factorization.

355361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1350, while the sum is 23.

The square root of 355361 is about 596.1216318840. The cubic root of 355361 is about 70.8309806216.

The spelling of 355361 in words is "three hundred fifty-five thousand, three hundred sixty-one".