838564 has 12 divisors (see below), whose sum is σ = 1518300. Its totient is φ = 404768.

The previous prime is 838561. The next prime is 838571. The reversal of 838564 is 465838.

838564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 708964 + 129600 = 842^2 + 360^2 .

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (838561) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3499 + ... + 3730.

It is an arithmetic number, because the mean of its divisors is an integer number (126525).

2⁸³⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

838564 is a deficient number, since it is larger than the sum of its proper divisors (679736).

838564 is a wasteful number, since it uses less digits than its factorization.

838564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7260 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 838564 is about 915.7314016675. The cubic root of 838564 is about 94.3000822041.

The spelling of 838564 in words is "eight hundred thirty-eight thousand, five hundred sixty-four".