33913152 has 168 divisors, whose sum is σ = 119822976. Its totient is φ = 8930304.

The previous prime is 33913129. The next prime is 33913169. The reversal of 33913152 is 25131933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52093 + ... + 52739.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^33913152 is an apocalyptic number.

33913152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is a pronic number, being equal to 5823×5824.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33913152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

33913152 is an abundant number, since it is smaller than the sum of its proper divisors (85909824).

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

33913152 is a wasteful number, since it uses less digits than its factorization.

33913152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 672 counting only the distinct ones).

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

The square root of 33913152 is about 5823.4999785352. The cubic root of 33913152 is about 323.6851078677.

The spelling of 33913152 in words is "thirty-three million, nine hundred thirteen thousand, one hundred fifty-two".