32052 has 12 divisors (see below), whose sum is σ = 74816. Its totient is φ = 10680.

The previous prime is 32051. The next prime is 32057. The reversal of 32052 is 25023.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 2671 = 32052 / (3 + 2 + 0 + 5 + 2).

It is a d-powerful number, because it can be written as 3³ + 2⁴ + 0 + 5⁶ + 2¹⁴ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1324 + ... + 1347.

2³²⁰⁵² is an apocalyptic number.

It is an amenable number.

32052 is an abundant number, since it is smaller than the sum of its proper divisors (42764).

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 (37408).

32052 is a wasteful number, since it uses less digits than its factorization.

32052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 32052 is about 179.0307236203. The cubic root of 32052 is about 31.7652085775.

Adding to 32052 its reverse (25023), we get a palindrome (57075).

The spelling of 32052 in words is "thirty-two thousand, fifty-two", and thus it is an eban number.