312331 has 2 divisors, whose sum is σ = 312332. Its totient is φ = 312330.

The previous prime is 312313. The next prime is 312343. The reversal of 312331 is 133213.

Together with previous prime (312313) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is an emirp because it is prime and its reverse (133213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312331 - 2⁷ = 312203 is a prime.

It is a super-2 number, since 2×312331² = 195101307122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156165 + 156166.

It is an arithmetic number, because the mean of its divisors is an integer number (156166).

2³¹²³³¹ is an apocalyptic number.

312331 is a deficient number, since it is larger than the sum of its proper divisors (1).

312331 is an equidigital number, since it uses as much as digits as its factorization.

312331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 13.

The square root of 312331 is about 558.8658157376. The cubic root of 312331 is about 67.8482052336.

Adding to 312331 its reverse (133213), we get a palindrome (445544).

The spelling of 312331 in words is "three hundred twelve thousand, three hundred thirty-one".