820163033 has 8 divisors (see below), whose sum is σ = 830203080. Its totient is φ = 810155520.

The previous prime is 820163023. The next prime is 820163039. The reversal of 820163033 is 330361028.

820163033 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 4 ways, for example, as 334048729 + 486114304 = 18277^2 + 22048^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820163033 - 2²⁸ = 551727577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 820162993 and 820163011.

It is not an unprimeable number, because it can be changed into a prime (820163039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44663 + ... + 60291.

It is an arithmetic number, because the mean of its divisors is an integer number (103775385).

Almost surely, 2^820163033 is an apocalyptic number.

It is an amenable number.

820163033 is a deficient number, since it is larger than the sum of its proper divisors (10040047).

820163033 is a wasteful number, since it uses less digits than its factorization.

820163033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16267.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 820163033 is about 28638.4886647323. The cubic root of 820163033 is about 936.0521896198.

The spelling of 820163033 in words is "eight hundred twenty million, one hundred sixty-three thousand, thirty-three".