321133993 has 2 divisors, whose sum is σ = 321133994. Its totient is φ = 321133992.

The previous prime is 321133979. The next prime is 321134003. The reversal of 321133993 is 399331123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320660649 + 473344 = 17907^2 + 688^2 .

It is a cyclic number.

It is not a de Polignac number, because 321133993 - 2⁹ = 321133481 is a prime.

It is not a weakly prime, because it can be changed into another prime (321133903) 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, 160566996 + 160566997.

It is an arithmetic number, because the mean of its divisors is an integer number (160566997).

Almost surely, 2^321133993 is an apocalyptic number.

It is an amenable number.

321133993 is a deficient number, since it is larger than the sum of its proper divisors (1).

321133993 is an equidigital number, since it uses as much as digits as its factorization.

321133993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13122, while the sum is 34.

The square root of 321133993 is about 17920.2118570066. The cubic root of 321133993 is about 684.7973847973.

The spelling of 321133993 in words is "three hundred twenty-one million, one hundred thirty-three thousand, nine hundred ninety-three".