33522 has 16 divisors (see below), whose sum is σ = 69312. Its totient is φ = 10800.

The previous prime is 33521. The next prime is 33529. The reversal of 33522 is 22533.

It is a super-2 number, since 2×33522² = 2247448968, which contains 22 as substring.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (33521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (4332).

2³³⁵²² is an apocalyptic number.

33522 is an abundant number, since it is smaller than the sum of its proper divisors (35790).

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 (34656).

33522 is a wasteful number, since it uses less digits than its factorization.

33522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193.

The product of its digits is 180, while the sum is 15.

The square root of 33522 is about 183.0901417335. The cubic root of 33522 is about 32.2435838447.

It can be divided in two parts, 33 and 522, that added together give a palindrome (555).

The spelling of 33522 in words is "thirty-three thousand, five hundred twenty-two".