349833 has 8 divisors (see below), whose sum is σ = 508896. Its totient is φ = 212000.

The previous prime is 349831. The next prime is 349837. The reversal of 349833 is 338943.

It is a happy number.

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 349833 - 2¹ = 349831 is a prime.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 349833.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 349833.

It is not an unprimeable number, because it can be changed into a prime (349831) 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, 5268 + ... + 5333.

It is an arithmetic number, because the mean of its divisors is an integer number (63612).

2³⁴⁹⁸³³ is an apocalyptic number.

349833 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

349833 is a deficient number, since it is larger than the sum of its proper divisors (159063).

349833 is a wasteful number, since it uses less digits than its factorization.

349833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10615.

The product of its digits is 7776, while the sum is 30.

The square root of 349833 is about 591.4668207093. The cubic root of 349833 is about 70.4617769766.

The spelling of 349833 in words is "three hundred forty-nine thousand, eight hundred thirty-three".