312312097 has 2 divisors, whose sum is σ = 312312098. Its totient is φ = 312312096.

The previous prime is 312312067. The next prime is 312312103. The reversal of 312312097 is 790213213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309619216 + 2692881 = 17596^2 + 1641^2 .

It is a cyclic number.

It is not a de Polignac number, because 312312097 - 2⁷ = 312311969 is a prime.

It is not a weakly prime, because it can be changed into another prime (312312037) 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, 156156048 + 156156049.

It is an arithmetic number, because the mean of its divisors is an integer number (156156049).

Almost surely, 2^312312097 is an apocalyptic number.

It is an amenable number.

312312097 is a deficient number, since it is larger than the sum of its proper divisors (1).

312312097 is an equidigital number, since it uses as much as digits as its factorization.

312312097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 312312097 is about 17672.3540310848. The cubic root of 312312097 is about 678.4683642884.

The spelling of 312312097 in words is "three hundred twelve million, three hundred twelve thousand, ninety-seven".