312203321 has 2 divisors, whose sum is σ = 312203322. Its totient is φ = 312203320.

The previous prime is 312203303. The next prime is 312203323. The reversal of 312203321 is 123302213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 282609721 + 29593600 = 16811^2 + 5440^2 .

It is an emirp because it is prime and its reverse (123302213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312203321 - 2¹⁴ = 312186937 is a prime.

Together with 312203323, it forms a pair of twin primes.

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 312203321.

It is not a weakly prime, because it can be changed into another prime (312203323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156101660 + 156101661.

It is an arithmetic number, because the mean of its divisors is an integer number (156101661).

Almost surely, 2^312203321 is an apocalyptic number.

It is an amenable number.

312203321 is a deficient number, since it is larger than the sum of its proper divisors (1).

312203321 is an equidigital number, since it uses as much as digits as its factorization.

312203321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 312203321 is about 17669.2761877786. The cubic root of 312203321 is about 678.3895866327.

Adding to 312203321 its reverse (123302213), we get a palindrome (435505534).

The spelling of 312203321 in words is "three hundred twelve million, two hundred three thousand, three hundred twenty-one".