11352 has 32 divisors (see below), whose sum is σ = 31680. Its totient is φ = 3360.

The previous prime is 11351. The next prime is 11353. The reversal of 11352 is 25311.

It is an interprime number because it is at equal distance from previous prime (11351) and next prime (11353).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 285.

It is an arithmetic number, because the mean of its divisors is an integer number (990).

2¹¹³⁵² is an apocalyptic number.

11352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840).

11352 is an abundant number, since it is smaller than the sum of its proper divisors (20328).

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

11352 is a wasteful number, since it uses less digits than its factorization.

11352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 59 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 11352 is about 106.5457648149. The cubic root of 11352 is about 22.4745391007.

11352 divided by its sum of digits (12) gives a triangular number (946 = T₄₃).

Adding to 11352 its reverse (25311), we get a palindrome (36663).

It can be divided in two parts, 11 and 352, that added together give a palindrome (363).

The spelling of 11352 in words is "eleven thousand, three hundred fifty-two".