8800249 has 16 divisors (see below), whose sum is σ = 9748480. Its totient is φ = 7912080.

The previous prime is 8800247. The next prime is 8800261. The reversal of 8800249 is 9420088.

It is a cyclic number.

It is not a de Polignac number, because 8800249 - 2¹ = 8800247 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8800249.

It is not an unprimeable number, because it can be changed into a prime (8800247) 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 15 ways as a sum of consecutive naturals, for example, 39352 + ... + 39574.

It is an arithmetic number, because the mean of its divisors is an integer number (609280).

Almost surely, 2^8800249 is an apocalyptic number.

It is an amenable number.

8800249 is a deficient number, since it is larger than the sum of its proper divisors (948231).

8800249 is a wasteful number, since it uses less digits than its factorization.

8800249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8800249 is about 2966.5213634828. The cubic root of 8800249 is about 206.4579703286.

The spelling of 8800249 in words is "eight million, eight hundred thousand, two hundred forty-nine".