312007 has 2 divisors, whose sum is σ = 312008. Its totient is φ = 312006.

The previous prime is 311981. The next prime is 312023. The reversal of 312007 is 700213.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312007 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312007.

It is not a weakly prime, because it can be changed into another prime (312047) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156003 + 156004.

It is an arithmetic number, because the mean of its divisors is an integer number (156004).

2³¹²⁰⁰⁷ is an apocalyptic number.

312007 is a deficient number, since it is larger than the sum of its proper divisors (1).

312007 is an equidigital number, since it uses as much as digits as its factorization.

312007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 312007 is about 558.5758677208. The cubic root of 312007 is about 67.8247360890.

The spelling of 312007 in words is "three hundred twelve thousand, seven", and thus it is an iban number.