821338 has 36 divisors (see below), whose sum is σ = 1574910. Its totient is φ = 319872.

The previous prime is 821333. The next prime is 821377. The reversal of 821338 is 833128.

It can be written as a sum of positive squares in 3 ways, for example, as 815409 + 5929 = 903^2 + 77^2 .

It is a super-2 number, since 2×821338² = 1349192220488, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (821333) by changing a digit.

821338 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28308 + ... + 28336.

2⁸²¹³³⁸ is an apocalyptic number.

821338 is a deficient number, since it is larger than the sum of its proper divisors (753572).

821338 is a wasteful number, since it uses less digits than its factorization.

821338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

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

The square root of 821338 is about 906.2769995978. The cubic root of 821338 is about 93.6498973003.

The spelling of 821338 in words is "eight hundred twenty-one thousand, three hundred thirty-eight".