3252 has 12 divisors (see below), whose sum is σ = 7616. Its totient is φ = 1080.

The previous prime is 3251. The next prime is 3253. The reversal of 3252 is 2523.

3252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3251) and next prime (3253).

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: 271 = 3252 / (3 + 2 + 5 + 2).

It is a d-powerful number, because it can be written as 3⁷ + 5² + 2⁴ + 2¹⁰ .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3251) 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, 124 + ... + 147.

It is an amenable number.

3252 is an abundant number, since it is smaller than the sum of its proper divisors (4364).

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 (3808).

3252 is a wasteful number, since it uses less digits than its factorization.

3252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

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

The square root of 3252 is about 57.0263097175. The cubic root of 3252 is about 14.8155181765.

Subtracting from 3252 its sum of digits (12), we obtain a triangular number (3240 = T₈₀).

Adding to 3252 its reverse (2523), we get a palindrome (5775).

Subtracting from 3252 its reverse (2523), we obtain a 6-th power (729 = 3⁶).

The spelling of 3252 in words is "three thousand, two hundred fifty-two".