36996 has 12 divisors (see below), whose sum is σ = 86352. Its totient is φ = 12328.

The previous prime is 36979. The next prime is 36997. The reversal of 36996 is 69963.

It is a tau number, because it is divible by the number of its divisors (12).

It is a plaindrome in base 9 and base 13.

It is a zygodrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36996.

It is not an unprimeable number, because it can be changed into a prime (36997) by changing a digit.

36996 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 3 ways as a sum of consecutive naturals, for example, 1530 + ... + 1553.

It is an arithmetic number, because the mean of its divisors is an integer number (7196).

2³⁶⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

36996 is an abundant number, since it is smaller than the sum of its proper divisors (49356).

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 (43176).

36996 is a wasteful number, since it uses less digits than its factorization.

36996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3088 counting only the distinct ones).

The product of its digits is 8748, while the sum is 33.

The square root of 36996 is about 192.3434428308. The cubic root of 36996 is about 33.3210176725.

Subtracting from 36996 its sum of digits (33), we obtain a palindrome (36963).

It can be divided in two parts, 369 and 96, that added together give a triangular number (465 = T₃₀).

The spelling of 36996 in words is "thirty-six thousand, nine hundred ninety-six".