8205273 has 32 divisors (see below), whose sum is σ = 12929280. Its totient is φ = 5132160.

The previous prime is 8205259. The next prime is 8205287. The reversal of 8205273 is 3725028.

8205273 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8205259) and next prime (8205287).

It is not a de Polignac number, because 8205273 - 2¹³ = 8197081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8205233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45243 + ... + 45423.

It is an arithmetic number, because the mean of its divisors is an integer number (404040).

Almost surely, 2^8205273 is an apocalyptic number.

It is an amenable number.

8205273 is a deficient number, since it is larger than the sum of its proper divisors (4724007).

8205273 is a wasteful number, since it uses less digits than its factorization.

8205273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8205273 is about 2864.4847704256. The cubic root of 8205273 is about 201.6961824916.

The spelling of 8205273 in words is "eight million, two hundred five thousand, two hundred seventy-three".