36984 has 32 divisors (see below), whose sum is σ = 97920. Its totient is φ = 11616.

The previous prime is 36979. The next prime is 36997. The reversal of 36984 is 48963.

It is a d-powerful number, because it can be written as 3 + 6² + 9² + 8⁵ + 4⁶ .

It is a plaindrome in base 13.

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 36984.

It is an unprimeable number.

36984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 519 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

2³⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48960).

36984 is an abundant number, since it is smaller than the sum of its proper divisors (60936).

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

36984 is a wasteful number, since it uses less digits than its factorization.

36984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 95 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 36984 is about 192.3122460999. The cubic root of 36984 is about 33.3174146213.

The spelling of 36984 in words is "thirty-six thousand, nine hundred eighty-four".