36084 has 24 divisors (see below), whose sum is σ = 87808. Its totient is φ = 11520.

The previous prime is 36083. The next prime is 36097. The reversal of 36084 is 48063.

36084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 36084.

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 36084.

It is not an unprimeable number, because it can be changed into a prime (36083) 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, 324 + ... + 420.

2³⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

36084 is an abundant number, since it is smaller than the sum of its proper divisors (51724).

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 (43904).

36084 is a wasteful number, since it uses less digits than its factorization.

36084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 36084 is about 189.9578900704. The cubic root of 36084 is about 33.0449341966.

Subtracting from 36084 its sum of digits (21), we obtain a palindrome (36063).

It can be divided in two parts, 360 and 84, that added together give a palindrome (444).

The spelling of 36084 in words is "thirty-six thousand, eighty-four".