363381121 has 2 divisors, whose sum is σ = 363381122. Its totient is φ = 363381120.

The previous prime is 363381019. The next prime is 363381127. The reversal of 363381121 is 121183363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304014096 + 59367025 = 17436^2 + 7705^2 .

It is a cyclic number.

It is not a de Polignac number, because 363381121 - 2⁹ = 363380609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 363381121.

It is not a weakly prime, because it can be changed into another prime (363381127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181690560 + 181690561.

It is an arithmetic number, because the mean of its divisors is an integer number (181690561).

Almost surely, 2^363381121 is an apocalyptic number.

It is an amenable number.

363381121 is a deficient number, since it is larger than the sum of its proper divisors (1).

363381121 is an equidigital number, since it uses as much as digits as its factorization.

363381121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 28.

The square root of 363381121 is about 19062.5580917148. The cubic root of 363381121 is about 713.5988148925.

The spelling of 363381121 in words is "three hundred sixty-three million, three hundred eighty-one thousand, one hundred twenty-one".