820338 has 16 divisors (see below), whose sum is σ = 1676160. Its totient is φ = 267536.

The previous prime is 820333. The next prime is 820343. The reversal of 820338 is 833028.

It is an interprime number because it is at equal distance from previous prime (820333) and next prime (820343).

It is a Curzon number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (820331) by changing a digit.

820338 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 7 ways as a sum of consecutive naturals, for example, 1173 + ... + 1736.

It is an arithmetic number, because the mean of its divisors is an integer number (104760).

2⁸²⁰³³⁸ is an apocalyptic number.

820338 is an abundant number, since it is smaller than the sum of its proper divisors (855822).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820338 is a wasteful number, since it uses less digits than its factorization.

820338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2961.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 820338 is about 905.7251238649. The cubic root of 820338 is about 93.6118748175.

The spelling of 820338 in words is "eight hundred twenty thousand, three hundred thirty-eight".