33445152 has 72 divisors (see below), whose sum is σ = 102437244. Its totient is φ = 10289664.

The previous prime is 33445147. The next prime is 33445177. The reversal of 33445152 is 25154433.

It can be written as a sum of positive squares in 2 ways, for example, as 30074256 + 3370896 = 5484^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33445152² = 2237156384606208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723 + ... + 8210.

Almost surely, 2^33445152 is an apocalyptic number.

33445152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33445152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51218622).

33445152 is an abundant number, since it is smaller than the sum of its proper divisors (68992092).

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

33445152 is a wasteful number, since it uses less digits than its factorization.

33445152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8951 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 33445152 is about 5783.1783648786. The cubic root of 33445152 is about 322.1892590052.

Adding to 33445152 its reverse (25154433), we get a palindrome (58599585).

The spelling of 33445152 in words is "thirty-three million, four hundred forty-five thousand, one hundred fifty-two".