363345121 has 2 divisors, whose sum is σ = 363345122. Its totient is φ = 363345120.

The previous prime is 363345091. The next prime is 363345133. The reversal of 363345121 is 121543363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291180096 + 72165025 = 17064^2 + 8495^2 .

It is a cyclic number.

It is not a de Polignac number, because 363345121 - 2¹¹ = 363343073 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 363345121.

It is not a weakly prime, because it can be changed into another prime (363345181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181672560 + 181672561.

It is an arithmetic number, because the mean of its divisors is an integer number (181672561).

Almost surely, 2^363345121 is an apocalyptic number.

It is an amenable number.

363345121 is a deficient number, since it is larger than the sum of its proper divisors (1).

363345121 is an equidigital number, since it uses as much as digits as its factorization.

363345121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 28.

The square root of 363345121 is about 19061.6138089093. The cubic root of 363345121 is about 713.5752488124.

Adding to 363345121 its reverse (121543363), we get a palindrome (484888484).

The spelling of 363345121 in words is "three hundred sixty-three million, three hundred forty-five thousand, one hundred twenty-one".