312253217 has 2 divisors, whose sum is σ = 312253218. Its totient is φ = 312253216.

The previous prime is 312253177. The next prime is 312253223. The reversal of 312253217 is 712352213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178596496 + 133656721 = 13364^2 + 11561^2 .

It is a cyclic number.

It is not a de Polignac number, because 312253217 - 2¹⁸ = 311991073 is a prime.

It is not a weakly prime, because it can be changed into another prime (312255217) 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, 156126608 + 156126609.

It is an arithmetic number, because the mean of its divisors is an integer number (156126609).

Almost surely, 2^312253217 is an apocalyptic number.

It is an amenable number.

312253217 is a deficient number, since it is larger than the sum of its proper divisors (1).

312253217 is an equidigital number, since it uses as much as digits as its factorization.

312253217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2520, while the sum is 26.

The square root of 312253217 is about 17670.6880737565. The cubic root of 312253217 is about 678.4257245397.

The spelling of 312253217 in words is "three hundred twelve million, two hundred fifty-three thousand, two hundred seventeen".