312289 has 2 divisors, whose sum is σ = 312290. Its totient is φ = 312288.

The previous prime is 312283. The next prime is 312311. The reversal of 312289 is 982213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 70225 = 492^2 + 265^2 .

It is an emirp because it is prime and its reverse (982213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312289 - 2³ = 312281 is a prime.

It is not a weakly prime, because it can be changed into another prime (312281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156144 + 156145.

It is an arithmetic number, because the mean of its divisors is an integer number (156145).

2³¹²²⁸⁹ is an apocalyptic number.

It is an amenable number.

312289 is a deficient number, since it is larger than the sum of its proper divisors (1).

312289 is an equidigital number, since it uses as much as digits as its factorization.

312289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 25.

The square root of 312289 is about 558.8282383703. The cubic root of 312289 is about 67.8451638530.

The spelling of 312289 in words is "three hundred twelve thousand, two hundred eighty-nine".