8205021 has 24 divisors (see below), whose sum is σ = 13132704. Its totient is φ = 4894560.

The previous prime is 8205013. The next prime is 8205023. The reversal of 8205021 is 1205028.

8205021 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8205021 - 2³ = 8205013 is a prime.

It is a super-2 number, since 2×8205021² = 134644739220882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8204985 and 8205003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6015 + ... + 7251.

It is an arithmetic number, because the mean of its divisors is an integer number (547196).

Almost surely, 2^8205021 is an apocalyptic number.

It is an amenable number.

8205021 is a deficient number, since it is larger than the sum of its proper divisors (4927683).

8205021 is a wasteful number, since it uses less digits than its factorization.

8205021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8205021 is about 2864.4407831198. The cubic root of 8205021 is about 201.6941176423.

The spelling of 8205021 in words is "eight million, two hundred five thousand, twenty-one".