33752 has 8 divisors (see below), whose sum is σ = 63300. Its totient is φ = 16872.

The previous prime is 33751. The next prime is 33757. The reversal of 33752 is 25733.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×33752² = 2278395008, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 3⁶ + 7 + 5 + 2¹⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33752.

It is not an unprimeable number, because it can be changed into a prime (33751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2102 + ... + 2117.

2³³⁷⁵² is an apocalyptic number.

It is an amenable number.

33752 is a deficient number, since it is larger than the sum of its proper divisors (29548).

33752 is a wasteful number, since it uses less digits than its factorization.

33752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4221 counting only the distinct ones).

The product of its digits is 630, while the sum is 20.

The square root of 33752 is about 183.7171739386. The cubic root of 33752 is about 32.3171586889.

The spelling of 33752 in words is "thirty-three thousand, seven hundred fifty-two".