11552 has 18 divisors (see below), whose sum is σ = 24003. Its totient is φ = 5472.

The previous prime is 11551. The next prime is 11579. The reversal of 11552 is 25511.

Multipling 11552 by its product of digits (50), we get a square (577600 = 760^{2}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5776 + 5776 = 76^2 + 76^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=76.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 11552.

It is not an unprimeable number, because it can be changed into a prime (11551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 599 + ... + 617.

2^{11552} 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 11552

11552 is an abundant number, since it is smaller than the sum of its proper divisors (12451).

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

11552 is an equidigital number, since it uses as much as digits as its factorization.

11552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 21 counting only the distinct ones).

The product of its digits is 50, while the sum is 14.

The square root of 11552 is about 107.4802307404. The cubic root of 11552 is about 22.6057572718.

The spelling of 11552 in words is "eleven thousand, five hundred fifty-two".

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