312193241 has 2 divisors, whose sum is σ = 312193242. Its totient is φ = 312193240.

The previous prime is 312193213. The next prime is 312193243. The reversal of 312193241 is 142391213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 284934400 + 27258841 = 16880^2 + 5221^2 .

It is a cyclic number.

It is not a de Polignac number, because 312193241 - 2¹⁰ = 312192217 is a prime.

Together with 312193243, it forms a pair of twin primes.

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 312193241.

It is not a weakly prime, because it can be changed into another prime (312193243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156096620 + 156096621.

It is an arithmetic number, because the mean of its divisors is an integer number (156096621).

Almost surely, 2^312193241 is an apocalyptic number.

It is an amenable number.

312193241 is a deficient number, since it is larger than the sum of its proper divisors (1).

312193241 is an equidigital number, since it uses as much as digits as its factorization.

312193241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 26.

The square root of 312193241 is about 17668.9909445899. The cubic root of 312193241 is about 678.3822855779.

The spelling of 312193241 in words is "three hundred twelve million, one hundred ninety-three thousand, two hundred forty-one".