820333303 has 16 divisors (see below), whose sum is σ = 877294080. Its totient is φ = 764848224.

The previous prime is 820333277. The next prime is 820333337. The reversal of 820333303 is 303333028.

It is not a de Polignac number, because 820333303 - 2⁵ = 820333271 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 (820333343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337350 + ... + 339772.

It is an arithmetic number, because the mean of its divisors is an integer number (54830880).

Almost surely, 2^820333303 is an apocalyptic number.

820333303 is a deficient number, since it is larger than the sum of its proper divisors (56960777).

820333303 is a wasteful number, since it uses less digits than its factorization.

820333303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718.

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 820333303 is about 28641.4612581132. The cubic root of 820333303 is about 936.1169615297.

The spelling of 820333303 in words is "eight hundred twenty million, three hundred thirty-three thousand, three hundred three".