349297 has 8 divisors (see below), whose sum is σ = 381416. Its totient is φ = 317952.

The previous prime is 349291. The next prime is 349303. The reversal of 349297 is 792943.

It is an interprime number because it is at equal distance from previous prime (349291) and next prime (349303).

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 349281 = 4^2 + 591^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-349297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123 + ... + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (47677).

2³⁴⁹²⁹⁷ is an apocalyptic number.

It is an amenable number.

349297 is a deficient number, since it is larger than the sum of its proper divisors (32119).

349297 is a wasteful number, since it uses less digits than its factorization.

349297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its digits is 13608, while the sum is 34.

The square root of 349297 is about 591.0135362240. The cubic root of 349297 is about 70.4257723520.

It can be divided in two parts, 3492 and 97, that multiplied together give a square (338724 = 582²).

The spelling of 349297 in words is "three hundred forty-nine thousand, two hundred ninety-seven".