36800209 has 2 divisors, whose sum is σ = 36800210. Its totient is φ = 36800208.

The previous prime is 36800177. The next prime is 36800221. The reversal of 36800209 is 90200863.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33814225 + 2985984 = 5815^2 + 1728^2 .

It is a cyclic number.

It is not a de Polignac number, because 36800209 - 2⁵ = 36800177 is a prime.

It is a super-3 number, since 3×36800209³ (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (36800279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18400104 + 18400105.

It is an arithmetic number, because the mean of its divisors is an integer number (18400105).

Almost surely, 2^36800209 is an apocalyptic number.

It is an amenable number.

36800209 is a deficient number, since it is larger than the sum of its proper divisors (1).

36800209 is an equidigital number, since it uses as much as digits as its factorization.

36800209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 36800209 is about 6066.3175815316. The cubic root of 36800209 is about 332.6213294565.

The spelling of 36800209 in words is "thirty-six million, eight hundred thousand, two hundred nine".