349000313 has 2 divisors, whose sum is σ = 349000314. Its totient is φ = 349000312.

The previous prime is 349000291. The next prime is 349000343. The reversal of 349000313 is 313000943.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319980544 + 29019769 = 17888^2 + 5387^2 .

It is a cyclic number.

It is not a de Polignac number, because 349000313 - 2¹² = 348996217 is a prime.

It is not a weakly prime, because it can be changed into another prime (349000343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174500156 + 174500157.

It is an arithmetic number, because the mean of its divisors is an integer number (174500157).

Almost surely, 2^349000313 is an apocalyptic number.

It is an amenable number.

349000313 is a deficient number, since it is larger than the sum of its proper divisors (1).

349000313 is an equidigital number, since it uses as much as digits as its factorization.

349000313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 349000313 is about 18681.5500695205. The cubic root of 349000313 is about 704.0582721490.

The spelling of 349000313 in words is "three hundred forty-nine million, three hundred thirteen", and thus it is an aban number.