349793 has 2 divisors, whose sum is σ = 349794. Its totient is φ = 349792.

The previous prime is 349787. The next prime is 349801. The reversal of 349793 is 397943.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 214369 + 135424 = 463^2 + 368^2 .

It is a cyclic number.

It is not a de Polignac number, because 349793 - 2⁶ = 349729 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (349753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174896 + 174897.

It is an arithmetic number, because the mean of its divisors is an integer number (174897).

2³⁴⁹⁷⁹³ is an apocalyptic number.

It is an amenable number.

349793 is a deficient number, since it is larger than the sum of its proper divisors (1).

349793 is an equidigital number, since it uses as much as digits as its factorization.

349793 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20412, while the sum is 35.

The square root of 349793 is about 591.4330055044. The cubic root of 349793 is about 70.4590913347.

It can be divided in two parts, 3497 and 93, that multiplied together give a triangular number (325221 = T₈₀₆).

The spelling of 349793 in words is "three hundred forty-nine thousand, seven hundred ninety-three".