312506417 has 2 divisors, whose sum is σ = 312506418. Its totient is φ = 312506416.

The previous prime is 312506353. The next prime is 312506437. The reversal of 312506417 is 714605213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195888016 + 116618401 = 13996^2 + 10799^2 .

It is a cyclic number.

It is not a de Polignac number, because 312506417 - 2⁶ = 312506353 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312506417.

It is not a weakly prime, because it can be changed into another prime (312506437) 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, 156253208 + 156253209.

It is an arithmetic number, because the mean of its divisors is an integer number (156253209).

Almost surely, 2^312506417 is an apocalyptic number.

It is an amenable number.

312506417 is a deficient number, since it is larger than the sum of its proper divisors (1).

312506417 is an equidigital number, since it uses as much as digits as its factorization.

312506417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 312506417 is about 17677.8510289005. The cubic root of 312506417 is about 678.6090490284.

The spelling of 312506417 in words is "three hundred twelve million, five hundred six thousand, four hundred seventeen".