312012329 has 2 divisors, whose sum is σ = 312012330. Its totient is φ = 312012328.

The previous prime is 312012313. The next prime is 312012341. The reversal of 312012329 is 923210213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172134400 + 139877929 = 13120^2 + 11827^2 .

It is an emirp because it is prime and its reverse (923210213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312012329 - 2⁴ = 312012313 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312012359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156006164 + 156006165.

It is an arithmetic number, because the mean of its divisors is an integer number (156006165).

Almost surely, 2^312012329 is an apocalyptic number.

It is an amenable number.

312012329 is a deficient number, since it is larger than the sum of its proper divisors (1).

312012329 is an equidigital number, since it uses as much as digits as its factorization.

312012329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 312012329 is about 17663.8707252969. The cubic root of 312012329 is about 678.2512222984.

The spelling of 312012329 in words is "three hundred twelve million, twelve thousand, three hundred twenty-nine".