312461329 has 2 divisors, whose sum is σ = 312461330. Its totient is φ = 312461328.

The previous prime is 312461321. The next prime is 312461333. The reversal of 312461329 is 923164213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202777600 + 109683729 = 14240^2 + 10473^2 .

It is a cyclic number.

It is not a de Polignac number, because 312461329 - 2³ = 312461321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312461329.

It is not a weakly prime, because it can be changed into another prime (312461321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156230664 + 156230665.

It is an arithmetic number, because the mean of its divisors is an integer number (156230665).

Almost surely, 2^312461329 is an apocalyptic number.

It is an amenable number.

312461329 is a deficient number, since it is larger than the sum of its proper divisors (1).

312461329 is an equidigital number, since it uses as much as digits as its factorization.

312461329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 31.

The square root of 312461329 is about 17676.5757147701. The cubic root of 312461329 is about 678.5764111957.

The spelling of 312461329 in words is "three hundred twelve million, four hundred sixty-one thousand, three hundred twenty-nine".