349107 has 16 divisors (see below), whose sum is σ = 518400. Its totient is φ = 207200.

The previous prime is 349099. The next prime is 349109. The reversal of 349107 is 701943.

It is a cyclic number.

It is not a de Polignac number, because 349107 - 2³ = 349099 is a prime.

349107 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (349109) 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 15 ways as a sum of consecutive naturals, for example, 2269 + ... + 2417.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2³⁴⁹¹⁰⁷ is an apocalyptic number.

349107 is a deficient number, since it is larger than the sum of its proper divisors (169293).

349107 is a wasteful number, since it uses less digits than its factorization.

349107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 349107 is about 590.8527735401. The cubic root of 349107 is about 70.4130006767.

Subtracting 349107 from its reverse (701943), we obtain a square (352836 = 594²).

The spelling of 349107 in words is "three hundred forty-nine thousand, one hundred seven".