4352 has 18 divisors (see below), whose sum is σ = 9198. Its totient is φ = 2048.

The previous prime is 4349. The next prime is 4357. The reversal of 4352 is 2534.

It can be written as a sum of positive squares in only one way, i.e., 4096 + 256 = 64^2 + 16^2 .

It is a d-powerful number, because it can be written as **4**^{6} + **5** + **3**^{5} + **2**^{3} .

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4352.

It is not an unprimeable number, because it can be changed into a prime (4357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 4352 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 248 + ... + 264.

It is an arithmetic number, because the mean of its divisors is an integer number (511).

2^{4352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4599).

4352 is an abundant number, since it is smaller than the sum of its proper divisors (4846).

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

4352 is an equidigital number, since it uses as much as digits as its factorization.

4352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 19 counting only the distinct ones).

The product of its digits is 120, while the sum is 14.

The square root of 4352 is about 65.9696900099. The cubic root of 4352 is about 16.3266204077.

Adding to 4352 its reverse (2534), we get a palindrome (6886).

The spelling of 4352 in words is "four thousand, three hundred fifty-two".

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