36809 has 2 divisors, whose sum is σ = 36810. Its totient is φ = 36808.

The previous prime is 36793. The next prime is 36821. The reversal of 36809 is 90863.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 7225 = 172^2 + 85^2 .

It is an emirp because it is prime and its reverse (90863) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36809 - 2⁴ = 36793 is a prime.

It is a Chen prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36809.

It is not a weakly prime, because it can be changed into another prime (36899) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18404 + 18405.

It is an arithmetic number, because the mean of its divisors is an integer number (18405).

2³⁶⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

36809 is a deficient number, since it is larger than the sum of its proper divisors (1).

36809 is an equidigital number, since it uses as much as digits as its factorization.

36809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 36809 is about 191.8567173700. The cubic root of 36809 is about 33.2647813376.

The spelling of 36809 in words is "thirty-six thousand, eight hundred nine".