33534132 has 48 divisors (see below), whose sum is σ = 83825280. Its totient is φ = 10396672.

The previous prime is 33534119. The next prime is 33534133. The reversal of 33534132 is 23143533.

It is a happy number.

It is a super-2 number, since 2×33534132² = 2249076017986848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33534133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17233 + ... + 19079.

It is an arithmetic number, because the mean of its divisors is an integer number (1746360).

Almost surely, 2^33534132 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 33534132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912640).

33534132 is an abundant number, since it is smaller than the sum of its proper divisors (50291148).

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

33534132 is a wasteful number, since it uses less digits than its factorization.

33534132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960 (or 1958 counting only the distinct ones).

The product of its digits is 3240, while the sum is 24.

The square root of 33534132 is about 5790.8662564421. The cubic root of 33534132 is about 322.4747315098.

Adding to 33534132 its reverse (23143533), we get a palindrome (56677665).

The spelling of 33534132 in words is "thirty-three million, five hundred thirty-four thousand, one hundred thirty-two".