312321293 has 2 divisors, whose sum is σ = 312321294. Its totient is φ = 312321292.

The previous prime is 312321287. The next prime is 312321307. The reversal of 312321293 is 392123213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245768329 + 66552964 = 15677^2 + 8158^2 .

It is an emirp because it is prime and its reverse (392123213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312321293 - 2⁴ = 312321277 is a prime.

It is a super-2 number, since 2×312321293² = 195089180122383698, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312321223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156160646 + 156160647.

It is an arithmetic number, because the mean of its divisors is an integer number (156160647).

Almost surely, 2^312321293 is an apocalyptic number.

It is an amenable number.

312321293 is a deficient number, since it is larger than the sum of its proper divisors (1).

312321293 is an equidigital number, since it uses as much as digits as its factorization.

312321293 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

The square root of 312321293 is about 17672.6142095616. The cubic root of 312321293 is about 678.4750233685.

The spelling of 312321293 in words is "three hundred twelve million, three hundred twenty-one thousand, two hundred ninety-three".