349337 has 2 divisors, whose sum is σ = 349338. Its totient is φ = 349336.

The previous prime is 349331. The next prime is 349343. The reversal of 349337 is 733943.

It is a balanced prime because it is at equal distance from previous prime (349331) and next prime (349343).

It can be written as a sum of positive squares in only one way, i.e., 341056 + 8281 = 584^2 + 91^2 .

It is a cyclic number.

It is not a de Polignac number, because 349337 - 2⁸ = 349081 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349337.

It is not a weakly prime, because it can be changed into another prime (349331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174668 + 174669.

It is an arithmetic number, because the mean of its divisors is an integer number (174669).

2³⁴⁹³³⁷ is an apocalyptic number.

It is an amenable number.

349337 is a deficient number, since it is larger than the sum of its proper divisors (1).

349337 is an equidigital number, since it uses as much as digits as its factorization.

349337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 29.

The square root of 349337 is about 591.0473754277. The cubic root of 349337 is about 70.4284605356.

It can be divided in two parts, 349 and 337, that added together give a palindrome (686).

The spelling of 349337 in words is "three hundred forty-nine thousand, three hundred thirty-seven".