838367 has 2 divisors, whose sum is σ = 838368. Its totient is φ = 838366.

The previous prime is 838363. The next prime is 838379. The reversal of 838367 is 763838.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 838367 - 2² = 838363 is a prime.

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

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838367.

It is not a weakly prime, because it can be changed into another prime (838363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419183 + 419184.

It is an arithmetic number, because the mean of its divisors is an integer number (419184).

2⁸³⁸³⁶⁷ is an apocalyptic number.

838367 is a deficient number, since it is larger than the sum of its proper divisors (1).

838367 is an equidigital number, since it uses as much as digits as its factorization.

838367 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 35.

The square root of 838367 is about 915.6238310573. The cubic root of 838367 is about 94.2926971303.

Subtracting from 838367 its reverse (763838), we obtain a square (74529 = 273²).

It can be divided in two parts, 8 and 38367, that multiplied together give a triangular number (306936 = T₇₈₃).

The spelling of 838367 in words is "eight hundred thirty-eight thousand, three hundred sixty-seven".