18800249 has 16 divisors (see below), whose sum is σ = 21683088. Its totient is φ = 16146432.

The previous prime is 18800233. The next prime is 18800251. The reversal of 18800249 is 94200881.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 250000 + 18550249 = 500^2 + 4307^2 .

It is a cyclic number.

It is not a de Polignac number, because 18800249 - 2⁴ = 18800233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18800209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20999 + ... + 21875.

It is an arithmetic number, because the mean of its divisors is an integer number (1355193).

Almost surely, 2^18800249 is an apocalyptic number.

It is an amenable number.

18800249 is a deficient number, since it is larger than the sum of its proper divisors (2882839).

18800249 is a wasteful number, since it uses less digits than its factorization.

18800249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004.

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 18800249 is about 4335.9253914245. The cubic root of 18800249 is about 265.9017529645.

The spelling of 18800249 in words is "eighteen million, eight hundred thousand, two hundred forty-nine".