8220333 has 16 divisors (see below), whose sum is σ = 12661056. Its totient is φ = 4688640.

The previous prime is 8220313. The next prime is 8220337. The reversal of 8220333 is 3330228.

It is not a de Polignac number, because 8220333 - 2¹⁸ = 7958189 is a prime.

8220333 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8220337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6766 + ... + 7887.

It is an arithmetic number, because the mean of its divisors is an integer number (791316).

Almost surely, 2^8220333 is an apocalyptic number.

It is an amenable number.

8220333 is a deficient number, since it is larger than the sum of its proper divisors (4440723).

8220333 is a wasteful number, since it uses less digits than its factorization.

8220333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14684.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 8220333 is about 2867.1123103220. The cubic root of 8220333 is about 201.8195051414.

The spelling of 8220333 in words is "eight million, two hundred twenty thousand, three hundred thirty-three".