33536 has 18 divisors (see below), whose sum is σ = 67452. Its totient is φ = 16640.

The previous prime is 33533. The next prime is 33547. The reversal of 33536 is 63533.

It is a super-2 number, since 2×33536² = 2249326592, which contains 22 as substring.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (33533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191 + ... + 321.

2³³⁵³⁶ 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 33536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33726).

33536 is an abundant number, since it is smaller than the sum of its proper divisors (33916).

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

33536 is an equidigital number, since it uses as much as digits as its factorization.

33536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

The product of its digits is 810, while the sum is 20.

The square root of 33536 is about 183.1283702762. The cubic root of 33536 is about 32.2480719157.

The spelling of 33536 in words is "thirty-three thousand, five hundred thirty-six".