312971 has 2 divisors, whose sum is σ = 312972. Its totient is φ = 312970.

The previous prime is 312967. The next prime is 312979. The reversal of 312971 is 179213.

It is a weak prime.

It is an emirp because it is prime and its reverse (179213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312971 - 2² = 312967 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156485 + 156486.

It is an arithmetic number, because the mean of its divisors is an integer number (156486).

2³¹²⁹⁷¹ is an apocalyptic number.

312971 is a deficient number, since it is larger than the sum of its proper divisors (1).

312971 is an equidigital number, since it uses as much as digits as its factorization.

312971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378, while the sum is 23.

The square root of 312971 is about 559.4381109649. The cubic root of 312971 is about 67.8945163861.

The spelling of 312971 in words is "three hundred twelve thousand, nine hundred seventy-one".