312413221 has 2 divisors, whose sum is σ = 312413222. Its totient is φ = 312413220.

The previous prime is 312413207. The next prime is 312413239. The reversal of 312413221 is 122314213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279224100 + 33189121 = 16710^2 + 5761^2 .

It is a cyclic number.

It is not a de Polignac number, because 312413221 - 2⁷ = 312413093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312413251) 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, 156206610 + 156206611.

It is an arithmetic number, because the mean of its divisors is an integer number (156206611).

Almost surely, 2^312413221 is an apocalyptic number.

It is an amenable number.

312413221 is a deficient number, since it is larger than the sum of its proper divisors (1).

312413221 is an equidigital number, since it uses as much as digits as its factorization.

312413221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 312413221 is about 17675.2148784675. The cubic root of 312413221 is about 678.5415838144.

Adding to 312413221 its reverse (122314213), we get a palindrome (434727434).

The spelling of 312413221 in words is "three hundred twelve million, four hundred thirteen thousand, two hundred twenty-one".