36805 has 8 divisors (see below), whose sum is σ = 46872. Its totient is φ = 27648.

The previous prime is 36793. The next prime is 36809. The reversal of 36805 is 50863.

It can be written as a sum of positive squares in 4 ways, for example, as 2209 + 34596 = 47^2 + 186^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(36805) divides (36805-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 36805 - 2⁷ = 36677 is a prime.

It is a Duffinian number.

36805 is a lucky number.

It is a nialpdrome in base 6.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132 + ... + 301.

It is an arithmetic number, because the mean of its divisors is an integer number (5859).

2³⁶⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

36805 is a deficient number, since it is larger than the sum of its proper divisors (10067).

36805 is a wasteful number, since it uses less digits than its factorization.

36805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 36805 is about 191.8462926407. The cubic root of 36805 is about 33.2635763429.

It can be divided in two parts, 36 and 805, that added together give a square (841 = 29²).

The spelling of 36805 in words is "thirty-six thousand, eight hundred five".