12544 has 27 divisors (see below), whose sum is σ = 29127. Its totient is φ = 5376.

The previous prime is 12541. The next prime is 12547. The reversal of 12544 is 44521.

12544 = T_{111} + T_{112}.

The square root of 12544 is 112.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (12541) and next prime (12547).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1789 + ... + 1795.

12544 is a Friedman number, since it can be written as 4^4*(51-2), using all its digits and the basic arithmetic operations.

2^{12544} is an apocalyptic number.

12544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12544 is the 112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12544

12544 is an abundant number, since it is smaller than the sum of its proper divisors (16583).

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

12544 is an frugal number, since it uses more digits than its factorization.

12544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 9 counting only the distinct ones).

The product of its digits is 160, while the sum is 16.

The cubic root of 12544 is about 23.2351429343.

Multiplying 12544 by its sum of digits (16), we get a square (200704 = 448^{2}).

12544 divided by its sum of digits (16) gives a square (784 = 28^{2}).

Multiplying 12544 by its reverse (44521), we get a square (558471424 = 23632^{2}).

It can be divided in two parts, 125 and 44, that added together give a square (169 = 13^{2}).

The spelling of 12544 in words is "twelve thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544

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