349305 has 32 divisors (see below), whose sum is σ = 639360. Its totient is φ = 161280.

The previous prime is 349303. The next prime is 349313. The reversal of 349305 is 503943.

It is not a de Polignac number, because 349305 - 2¹ = 349303 is a prime.

It is a congruent number.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4749 + ... + 4821.

It is an arithmetic number, because the mean of its divisors is an integer number (19980).

2³⁴⁹³⁰⁵ is an apocalyptic number.

It is an amenable number.

349305 is a deficient number, since it is larger than the sum of its proper divisors (290055).

349305 is a wasteful number, since it uses less digits than its factorization.

349305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 349305 is about 591.0203042197. The cubic root of 349305 is about 70.4263100052.

Subtracting from 349305 its sum of digits (24), we obtain a square (349281 = 591²).

It can be divided in two parts, 34 and 9305, that added together give a palindrome (9339).

The spelling of 349305 in words is "three hundred forty-nine thousand, three hundred five".