36806 has 16 divisors (see below), whose sum is σ = 69120. Its totient is φ = 14280.

The previous prime is 36793. The next prime is 36809. The reversal of 36806 is 60863.

It is a Curzon number.

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

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 36806.

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

36806 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 7 ways as a sum of consecutive naturals, for example, 35 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (4320).

2³⁶⁸⁰⁶ is an apocalyptic number.

36806 is a deficient number, since it is larger than the sum of its proper divisors (32314).

36806 is a wasteful number, since it uses less digits than its factorization.

36806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 36806 is about 191.8488988762. The cubic root of 36806 is about 33.2638775998.

The spelling of 36806 in words is "thirty-six thousand, eight hundred six".