312563341 has 2 divisors, whose sum is σ = 312563342. Its totient is φ = 312563340.

The previous prime is 312563269. The next prime is 312563347. The reversal of 312563341 is 143365213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291897225 + 20666116 = 17085^2 + 4546^2 .

It is a cyclic number.

It is not a de Polignac number, because 312563341 - 2¹⁵ = 312530573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312563347) 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, 156281670 + 156281671.

It is an arithmetic number, because the mean of its divisors is an integer number (156281671).

Almost surely, 2^312563341 is an apocalyptic number.

It is an amenable number.

312563341 is a deficient number, since it is larger than the sum of its proper divisors (1).

312563341 is an equidigital number, since it uses as much as digits as its factorization.

312563341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 28.

The square root of 312563341 is about 17679.4609929149. The cubic root of 312563341 is about 678.6502500983.

It can be divided in two parts, 3125 and 63341, that added together give a palindrome (66466).

The spelling of 312563341 in words is "three hundred twelve million, five hundred sixty-three thousand, three hundred forty-one".