312345353 has 2 divisors, whose sum is σ = 312345354. Its totient is φ = 312345352.

The previous prime is 312345331. The next prime is 312345361. The reversal of 312345353 is 353543213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160858489 + 151486864 = 12683^2 + 12308^2 .

It is a cyclic number.

It is not a de Polignac number, because 312345353 - 2²⁸ = 43909897 is a prime.

It is not a weakly prime, because it can be changed into another prime (312345053) 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, 156172676 + 156172677.

It is an arithmetic number, because the mean of its divisors is an integer number (156172677).

Almost surely, 2^312345353 is an apocalyptic number.

It is an amenable number.

312345353 is a deficient number, since it is larger than the sum of its proper divisors (1).

312345353 is an equidigital number, since it uses as much as digits as its factorization.

312345353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16200, while the sum is 29.

The square root of 312345353 is about 17673.2949106837. The cubic root of 312345353 is about 678.4924452673.

Adding to 312345353 its reverse (353543213), we get a palindrome (665888566).

The spelling of 312345353 in words is "three hundred twelve million, three hundred forty-five thousand, three hundred fifty-three".