8205252 has 36 divisors (see below), whose sum is σ = 21048048. Its totient is φ = 2486000.

The previous prime is 8205251. The next prime is 8205259. The reversal of 8205252 is 2525028.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8205251) 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 11 ways as a sum of consecutive naturals, for example, 1374 + ... + 4277.

It is an arithmetic number, because the mean of its divisors is an integer number (584668).

Almost surely, 2^8205252 is an apocalyptic number.

It is an amenable number.

8205252 is an abundant number, since it is smaller than the sum of its proper divisors (12842796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8205252 is a wasteful number, since it uses less digits than its factorization.

8205252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 8205252 is about 2864.4811048426. The cubic root of 8205252 is about 201.6960104225.

The spelling of 8205252 in words is "eight million, two hundred five thousand, two hundred fifty-two".