349313 has 2 divisors, whose sum is σ = 349314. Its totient is φ = 349312.

The previous prime is 349303. The next prime is 349331. The reversal of 349313 is 313943.

Together with next prime (349331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332929 + 16384 = 577^2 + 128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-349313 is a prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (349303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174656 + 174657.

It is an arithmetic number, because the mean of its divisors is an integer number (174657).

2³⁴⁹³¹³ is an apocalyptic number.

It is an amenable number.

349313 is a deficient number, since it is larger than the sum of its proper divisors (1).

349313 is an equidigital number, since it uses as much as digits as its factorization.

349313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 349313 is about 591.0270721380. The cubic root of 349313 is about 70.4268476501.

The spelling of 349313 in words is "three hundred forty-nine thousand, three hundred thirteen".