838305 has 24 divisors (see below), whose sum is σ = 1565928. Its totient is φ = 412416.

The previous prime is 838249. The next prime is 838349. The reversal of 838305 is 503838.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 762129 = 276^2 + 873^2 .

It is not a de Polignac number, because 838305 - 2¹⁵ = 805537 is a prime.

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

It is a Curzon number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (65247).

2⁸³⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

838305 is a deficient number, since it is larger than the sum of its proper divisors (727623).

838305 is a wasteful number, since it uses less digits than its factorization.

838305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 838305 is about 915.5899737328. The cubic root of 838305 is about 94.2903726545.

The spelling of 838305 in words is "eight hundred thirty-eight thousand, three hundred five".