312771689 has 2 divisors, whose sum is σ = 312771690. Its totient is φ = 312771688.

The previous prime is 312771677. The next prime is 312771691. The reversal of 312771689 is 986177213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184742464 + 128029225 = 13592^2 + 11315^2 .

It is a cyclic number.

It is not a de Polignac number, because 312771689 - 2²⁴ = 295994473 is a prime.

It is a super-2 number, since 2×312771689² = 195652258879825442, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 312771691, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312771629) 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, 156385844 + 156385845.

It is an arithmetic number, because the mean of its divisors is an integer number (156385845).

Almost surely, 2^312771689 is an apocalyptic number.

It is an amenable number.

312771689 is a deficient number, since it is larger than the sum of its proper divisors (1).

312771689 is an equidigital number, since it uses as much as digits as its factorization.

312771689 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 127008, while the sum is 44.

The square root of 312771689 is about 17685.3523855195. The cubic root of 312771689 is about 678.8010078258.

The spelling of 312771689 in words is "three hundred twelve million, seven hundred seventy-one thousand, six hundred eighty-nine".