349933 has 2 divisors, whose sum is σ = 349934. Its totient is φ = 349932.

The previous prime is 349931. The next prime is 349939. The reversal of 349933 is 339943.

It is the 242-nd star number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293764 + 56169 = 542^2 + 237^2 .

It is an emirp because it is prime and its reverse (339943) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 349933 - 2¹ = 349931 is a prime.

Together with 349931, it forms a pair of twin primes.

349933 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 349895 and 349904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (349931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174966 + 174967.

It is an arithmetic number, because the mean of its divisors is an integer number (174967).

2³⁴⁹⁹³³ is an apocalyptic number.

It is an amenable number.

349933 is a deficient number, since it is larger than the sum of its proper divisors (1).

349933 is an equidigital number, since it uses as much as digits as its factorization.

349933 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8748, while the sum is 31.

The square root of 349933 is about 591.5513502647. The cubic root of 349933 is about 70.4684901859.

The spelling of 349933 in words is "three hundred forty-nine thousand, nine hundred thirty-three".