33636 has 12 divisors (see below), whose sum is σ = 78512. Its totient is φ = 11208.

The previous prime is 33629. The next prime is 33637. The reversal of 33636 is 63633.

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

It is a super-2 number, since 2×33636² = 2262760992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33637) by changing a digit.

33636 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, 1390 + ... + 1413.

2³³⁶³⁶ is an apocalyptic number.

It is an amenable number.

33636 is an abundant number, since it is smaller than the sum of its proper divisors (44876).

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 (39256).

33636 is a wasteful number, since it uses less digits than its factorization.

33636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2808 counting only the distinct ones).

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

The square root of 33636 is about 183.4011995599. The cubic root of 33636 is about 32.2800932974.

The spelling of 33636 in words is "thirty-three thousand, six hundred thirty-six".