404242313 has 2 divisors, whose sum is σ = 404242314. Its totient is φ = 404242312.

The previous prime is 404242301. The next prime is 404242351. The reversal of 404242313 is 313242404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 394737424 + 9504889 = 19868^2 + 3083^2 .

It is a cyclic number.

It is not a de Polignac number, because 404242313 - 2¹⁶ = 404176777 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (404242393) 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, 202121156 + 202121157.

It is an arithmetic number, because the mean of its divisors is an integer number (202121157).

Almost surely, 2^404242313 is an apocalyptic number.

It is an amenable number.

404242313 is a deficient number, since it is larger than the sum of its proper divisors (1).

404242313 is an equidigital number, since it uses as much as digits as its factorization.

404242313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 404242313 is about 20105.7780998399. The cubic root of 404242313 is about 739.4019474028.

Adding to 404242313 its reverse (313242404), we get a palindrome (717484717).

Subtracting from 404242313 its reverse (313242404), we obtain a palindrome (90999909).

The spelling of 404242313 in words is "four hundred four million, two hundred forty-two thousand, three hundred thirteen".