8205217 has 8 divisors (see below), whose sum is σ = 8452224. Its totient is φ = 7960848.

The previous prime is 8205199. The next prime is 8205221. The reversal of 8205217 is 7125028.

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

It is not a de Polignac number, because 8205217 - 2¹⁹ = 7680929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8205191 and 8205200.

It is not an unprimeable number, because it can be changed into a prime (8205287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6888 + ... + 7990.

It is an arithmetic number, because the mean of its divisors is an integer number (1056528).

Almost surely, 2^8205217 is an apocalyptic number.

It is an amenable number.

8205217 is a deficient number, since it is larger than the sum of its proper divisors (247007).

8205217 is a wasteful number, since it uses less digits than its factorization.

8205217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 8205217 is about 2864.4749955271. The cubic root of 8205217 is about 201.6957236399.

The spelling of 8205217 in words is "eight million, two hundred five thousand, two hundred seventeen".