36208 has 20 divisors (see below), whose sum is σ = 73408. Its totient is φ = 17280.

The previous prime is 36191. The next prime is 36209. The reversal of 36208 is 80263.

36208 = T₃₂ + T₃₃ + ... + T₆₂.

36208 is an admirable number.

It is a super-2 number, since 2×36208² = 2622038528, which contains 22 as substring.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 460 + ... + 532.

2³⁶²⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36704).

36208 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36208 is a wasteful number, since it uses less digits than its factorization.

36208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 36208 is about 190.2839982763. The cubic root of 36208 is about 33.0827430787.

The spelling of 36208 in words is "thirty-six thousand, two hundred eight".