349409 has 2 divisors, whose sum is σ = 349410. Its totient is φ = 349408.

The previous prime is 349403. The next prime is 349411. The reversal of 349409 is 904943.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247009 + 102400 = 497^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 349409 - 2¹⁶ = 283873 is a prime.

Together with 349411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (349403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174704 + 174705.

It is an arithmetic number, because the mean of its divisors is an integer number (174705).

2³⁴⁹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

349409 is a deficient number, since it is larger than the sum of its proper divisors (1).

349409 is an equidigital number, since it uses as much as digits as its factorization.

349409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 349409 is about 591.1082811127. The cubic root of 349409 is about 70.4332987490.

The spelling of 349409 in words is "three hundred forty-nine thousand, four hundred nine".