312701 has 2 divisors, whose sum is σ = 312702. Its totient is φ = 312700.

The previous prime is 312679. The next prime is 312703. The reversal of 312701 is 107213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 10201 = 550^2 + 101^2 .

It is a cyclic number.

It is not a de Polignac number, because 312701 - 2¹⁰ = 311677 is a prime.

Together with 312703, it forms a pair of twin primes.

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 312701.

It is not a weakly prime, because it can be changed into another prime (312703) 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, 156350 + 156351.

It is an arithmetic number, because the mean of its divisors is an integer number (156351).

2³¹²⁷⁰¹ is an apocalyptic number.

It is an amenable number.

312701 is a deficient number, since it is larger than the sum of its proper divisors (1).

312701 is an equidigital number, since it uses as much as digits as its factorization.

312701 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 14.

The square root of 312701 is about 559.1967453410. The cubic root of 312701 is about 67.8749865750.

Adding to 312701 its reverse (107213), we get a palindrome (419914).

The spelling of 312701 in words is "three hundred twelve thousand, seven hundred one", and thus it is an iban number.