820285333 has 6 divisors (see below), whose sum is σ = 954209526. Its totient is φ = 703101672.

The previous prime is 820285307. The next prime is 820285339. The reversal of 820285333 is 333582028.

It is a happy number.

820285333 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 only one way, i.e., 710915569 + 109369764 = 26663^2 + 10458^2 .

It is not a de Polignac number, because 820285333 - 2⁹ = 820284821 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820285339) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8370210 + ... + 8370307.

It is an arithmetic number, because the mean of its divisors is an integer number (159034921).

Almost surely, 2^820285333 is an apocalyptic number.

It is an amenable number.

820285333 is a deficient number, since it is larger than the sum of its proper divisors (133924193).

820285333 is a wasteful number, since it uses less digits than its factorization.

820285333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16740531 (or 16740524 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 820285333 is about 28640.6238235133. The cubic root of 820285333 is about 936.0987143100.

The spelling of 820285333 in words is "eight hundred twenty million, two hundred eighty-five thousand, three hundred thirty-three".