36336 has 20 divisors (see below), whose sum is σ = 93992. Its totient is φ = 12096.

The previous prime is 36319. The next prime is 36341. The reversal of 36336 is 63363.

36336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331 + ... + 426.

2³⁶³³⁶ is an apocalyptic number.

It is an amenable number.

36336 is an abundant number, since it is smaller than the sum of its proper divisors (57656).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46996).

36336 is a wasteful number, since it uses less digits than its factorization.

36336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 36336 is about 190.6200409191. The cubic root of 36336 is about 33.1216811674.

Subtracting from 36336 its sum of digits (21), we obtain a triangular number (36315 = T₂₆₉).

Adding to 36336 its reverse (63363), we get a palindrome (99699).

The spelling of 36336 in words is "thirty-six thousand, three hundred thirty-six".