312787121 has 2 divisors, whose sum is σ = 312787122. Its totient is φ = 312787120.

The previous prime is 312787109. The next prime is 312787129. The reversal of 312787121 is 121787213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286828096 + 25959025 = 16936^2 + 5095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312787121 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312787129) 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, 156393560 + 156393561.

It is an arithmetic number, because the mean of its divisors is an integer number (156393561).

Almost surely, 2^312787121 is an apocalyptic number.

It is an amenable number.

312787121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312787121 is an equidigital number, since it uses as much as digits as its factorization.

312787121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4704, while the sum is 32.

The square root of 312787121 is about 17685.7886733954. The cubic root of 312787121 is about 678.8121715438.

The spelling of 312787121 in words is "three hundred twelve million, seven hundred eighty-seven thousand, one hundred twenty-one".