312111029 has 2 divisors, whose sum is σ = 312111030. Its totient is φ = 312111028.

The previous prime is 312110993. The next prime is 312111047. The reversal of 312111029 is 920111213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255936004 + 56175025 = 15998^2 + 7495^2 .

It is a cyclic number.

It is not a de Polignac number, because 312111029 - 2¹² = 312106933 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312111029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312113029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055514 + 156055515.

It is an arithmetic number, because the mean of its divisors is an integer number (156055515).

Almost surely, 2^312111029 is an apocalyptic number.

It is an amenable number.

312111029 is a deficient number, since it is larger than the sum of its proper divisors (1).

312111029 is an equidigital number, since it uses as much as digits as its factorization.

312111029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 312111029 is about 17666.6643427671. The cubic root of 312111029 is about 678.3227326543.

The spelling of 312111029 in words is "three hundred twelve million, one hundred eleven thousand, twenty-nine".