312112217 has 2 divisors, whose sum is σ = 312112218. Its totient is φ = 312112216.

The previous prime is 312112201. The next prime is 312112219. The reversal of 312112217 is 712211213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241367296 + 70744921 = 15536^2 + 8411^2 .

It is a cyclic number.

It is not a de Polignac number, because 312112217 - 2⁴ = 312112201 is a prime.

Together with 312112219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (312112219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056108 + 156056109.

It is an arithmetic number, because the mean of its divisors is an integer number (156056109).

Almost surely, 2^312112217 is an apocalyptic number.

It is an amenable number.

312112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

312112217 is an equidigital number, since it uses as much as digits as its factorization.

312112217 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 20.

The square root of 312112217 is about 17666.6979653811. The cubic root of 312112217 is about 678.3235932950.

The spelling of 312112217 in words is "three hundred twelve million, one hundred twelve thousand, two hundred seventeen".