349307 has 8 divisors (see below), whose sum is σ = 403200. Its totient is φ = 296424.

The previous prime is 349303. The next prime is 349313. The reversal of 349307 is 703943.

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

It is a cyclic number.

It is not a de Polignac number, because 349307 - 2² = 349303 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349307.

It is not an unprimeable number, because it can be changed into a prime (349303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (50400).

2³⁴⁹³⁰⁷ is an apocalyptic number.

349307 is a deficient number, since it is larger than the sum of its proper divisors (53893).

349307 is a wasteful number, since it uses less digits than its factorization.

349307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 349307 is about 591.0219962066. The cubic root of 349307 is about 70.4264444172.

Subtracting from 349307 its sum of digits (26), we obtain a square (349281 = 591²).

It can be divided in two parts, 349 and 307, that added together give a palindrome (656).

The spelling of 349307 in words is "three hundred forty-nine thousand, three hundred seven".