33113952 has 72 divisors (see below), whose sum is σ = 97231680. Its totient is φ = 10679040.

The previous prime is 33113947. The next prime is 33113953. The reversal of 33113952 is 25931133.

It is a happy number.

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

It is a super-3 number, since 3×33113952³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113953) by changing a digit.

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, 7074 + ... + 10782.

It is an arithmetic number, because the mean of its divisors is an integer number (1350440).

Almost surely, 2^33113952 is an apocalyptic number.

33113952 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 33113952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48615840).

33113952 is an abundant number, since it is smaller than the sum of its proper divisors (64117728).

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

33113952 is a wasteful number, since it uses less digits than its factorization.

33113952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3745 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 33113952 is about 5754.4723476614. The cubic root of 33113952 is about 321.1222057773.

The spelling of 33113952 in words is "thirty-three million, one hundred thirteen thousand, nine hundred fifty-two".