838321 has 8 divisors (see below), whose sum is σ = 968544. Its totient is φ = 717120.

The previous prime is 838249. The next prime is 838349. The reversal of 838321 is 123838.

838321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 838321 - 2⁷ = 838193 is a prime.

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

It is a Duffinian number.

838321 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (838351) 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, 2055 + ... + 2428.

It is an arithmetic number, because the mean of its divisors is an integer number (121068).

2⁸³⁸³²¹ is an apocalyptic number.

It is an amenable number.

838321 is a deficient number, since it is larger than the sum of its proper divisors (130223).

838321 is a wasteful number, since it uses less digits than its factorization.

838321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511.

The product of its digits is 1152, while the sum is 25.

The square root of 838321 is about 915.5987112267. The cubic root of 838321 is about 94.2909725302.

The spelling of 838321 in words is "eight hundred thirty-eight thousand, three hundred twenty-one".