36209 has 2 divisors, whose sum is σ = 36210. Its totient is φ = 36208.

The previous prime is 36191. The next prime is 36217. The reversal of 36209 is 90263.

It is a happy number.

36209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25600 + 10609 = 160^2 + 103^2 .

It is an emirp because it is prime and its reverse (90263) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36209 is a prime.

It is a super-2 number, since 2×36209² = 2622183362, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36209.

It is not a weakly prime, because it can be changed into another prime (36229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18104 + 18105.

It is an arithmetic number, because the mean of its divisors is an integer number (18105).

2³⁶²⁰⁹ is an apocalyptic number.

It is an amenable number.

36209 is a deficient number, since it is larger than the sum of its proper divisors (1).

36209 is an equidigital number, since it uses as much as digits as its factorization.

36209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 36209 is about 190.2866259094. The cubic root of 36209 is about 33.0830476379.

The spelling of 36209 in words is "thirty-six thousand, two hundred nine".