36566 has 8 divisors (see below), whose sum is σ = 56160. Its totient is φ = 17848.

The previous prime is 36563. The next prime is 36571. The reversal of 36566 is 66563.

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

It is a Curzon number.

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 36566.

It is not an unprimeable number, because it can be changed into a prime (36563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2³⁶⁵⁶⁶ is an apocalyptic number.

36566 is a deficient number, since it is larger than the sum of its proper divisors (19594).

36566 is a wasteful number, since it uses less digits than its factorization.

36566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438.

The product of its digits is 3240, while the sum is 26.

The square root of 36566 is about 191.2223836270. Note that the first 3 decimals coincide. The cubic root of 36566 is about 33.1914188884.

It can be divided in two parts, 365 and 66, that multiplied together give a triangular number (24090 = T₂₁₉).

The spelling of 36566 in words is "thirty-six thousand, five hundred sixty-six".