838349 has 2 divisors, whose sum is σ = 838350. Its totient is φ = 838348.

The previous prime is 838249. The next prime is 838351. The reversal of 838349 is 943838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 570025 + 268324 = 755^2 + 518^2 .

It is a cyclic number.

It is not a de Polignac number, because 838349 - 2⁸ = 838093 is a prime.

Together with 838351, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (838379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419174 + 419175.

It is an arithmetic number, because the mean of its divisors is an integer number (419175).

2⁸³⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

838349 is a deficient number, since it is larger than the sum of its proper divisors (1).

838349 is an equidigital number, since it uses as much as digits as its factorization.

838349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 35.

The square root of 838349 is about 915.6140016404. The cubic root of 838349 is about 94.2920222943.

The spelling of 838349 in words is "eight hundred thirty-eight thousand, three hundred forty-nine".