36808 has 16 divisors (see below), whose sum is σ = 71280. Its totient is φ = 17808.

The previous prime is 36793. The next prime is 36809. The reversal of 36808 is 80863.

36808 is nontrivially palindromic in base 7.

36808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36809) by changing a digit.

36808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291 + ... + 397.

It is an arithmetic number, because the mean of its divisors is an integer number (4455).

2³⁶⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

36808 is a deficient number, since it is larger than the sum of its proper divisors (34472).

36808 is a wasteful number, since it uses less digits than its factorization.

36808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 36808 is about 191.8541112408. The cubic root of 36808 is about 33.2644800971.

The spelling of 36808 in words is "thirty-six thousand, eight hundred eight".