5352 has 16 divisors (see below), whose sum is σ = 13440. Its totient is φ = 1776.

The previous prime is 5351. The next prime is 5381. The reversal of 5352 is 2535.

It is a plaindrome in base 13 and base 15.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 5352.

It is not an unprimeable number, because it can be changed into a prime (5351) 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, 88 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (840).

2^{5352} is an apocalyptic number.

It is an amenable number.

5352 is an abundant number, since it is smaller than the sum of its proper divisors (8088).

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 (6720).

5352 is a wasteful number, since it uses less digits than its factorization.

5352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 150, while the sum is 15.

The square root of 5352 is about 73.1573646327. The cubic root of 5352 is about 17.4919691042.

Adding to 5352 its reverse (2535), we get a palindrome (7887).

It can be divided in two parts, 53 and 52, that added together give a triangular number (105 = T_{14}).

The spelling of 5352 in words is "five thousand, three hundred fifty-two".

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