312031 has 2 divisors, whose sum is σ = 312032. Its totient is φ = 312030.

The previous prime is 312029. The next prime is 312043. The reversal of 312031 is 130213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312031 - 2¹ = 312029 is a prime.

It is a super-2 number, since 2×312031² = 194726689922, which contains 22 as substring.

Together with 312029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 311999 and 312017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312071) 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, 156015 + 156016.

It is an arithmetic number, because the mean of its divisors is an integer number (156016).

2³¹²⁰³¹ is an apocalyptic number.

312031 is a deficient number, since it is larger than the sum of its proper divisors (1).

312031 is an equidigital number, since it uses as much as digits as its factorization.

312031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 312031 is about 558.5973505129. The cubic root of 312031 is about 67.8264751012.

Adding to 312031 its reverse (130213), we get a palindrome (442244).

The spelling of 312031 in words is "three hundred twelve thousand, thirty-one".