32952 has 16 divisors (see below), whose sum is σ = 82440. Its totient is φ = 10976.

The previous prime is 32941. The next prime is 32957. The reversal of 32952 is 25923.

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 32952.

It is not an unprimeable number, because it can be changed into a prime (32957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 663 + ... + 710.

2³²⁹⁵² is an apocalyptic number.

It is an amenable number.

32952 is an abundant number, since it is smaller than the sum of its proper divisors (49488).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41220).

32952 is a wasteful number, since it uses less digits than its factorization.

32952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1378 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 32952 is about 181.5268575170. The cubic root of 32952 is about 32.0597840721.

The spelling of 32952 in words is "thirty-two thousand, nine hundred fifty-two".