36366 has 32 divisors (see below), whose sum is σ = 86400. Its totient is φ = 10080.

The previous prime is 36353. The next prime is 36373. The reversal of 36366 is 66363.

It is a nude number because it is divisible by every one of its digits.

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 36366.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1240 + ... + 1268.

It is an arithmetic number, because the mean of its divisors is an integer number (2700).

2³⁶³⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43200).

36366 is an abundant number, since it is smaller than the sum of its proper divisors (50034).

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

36366 is a wasteful number, since it uses less digits than its factorization.

36366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64.

The product of its digits is 1944, while the sum is 24.

The square root of 36366 is about 190.6987152552. The cubic root of 36366 is about 33.1307940500.

The spelling of 36366 in words is "thirty-six thousand, three hundred sixty-six".