33253152 has 48 divisors (see below), whose sum is σ = 88214112. Its totient is φ = 10967040.

The previous prime is 33253151. The next prime is 33253163. The reversal of 33253152 is 25135233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33253152² = 2211544235870208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33253151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7527 + ... + 11097.

It is an arithmetic number, because the mean of its divisors is an integer number (1837794).

Almost surely, 2^33253152 is an apocalyptic number.

33253152 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 33253152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44107056).

33253152 is an abundant number, since it is smaller than the sum of its proper divisors (54960960).

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

33253152 is a wasteful number, since it uses less digits than its factorization.

33253152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3673 counting only the distinct ones).

The product of its digits is 2700, while the sum is 24.

The square root of 33253152 is about 5766.5546039208. The cubic root of 33253152 is about 321.5715402651.

Adding to 33253152 its reverse (25135233), we get a palindrome (58388385).

The spelling of 33253152 in words is "thirty-three million, two hundred fifty-three thousand, one hundred fifty-two".