13456 has 15 divisors (see below), whose sum is σ = 27001. Its totient is φ = 6496.

The previous prime is 13451. The next prime is 13457. The reversal of 13456 is 65431.

13456 = T_{115} + T_{116}.

The square root of 13456 is 116.

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

It can be written as a sum of positive squares in only one way, i.e., 7056 + 6400 = 84^2 + 80^2 .

It is a Duffinian number.

It is a plaindrome in base 10.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (13451) 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, 450 + ... + 478.

2^{13456} is an apocalyptic number.

13456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13456 is the 116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13456

13456 is an abundant number, since it is smaller than the sum of its proper divisors (13545).

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

13456 is an equidigital number, since it uses as much as digits as its factorization.

13456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 31 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The cubic root of 13456 is about 23.7851188663.

Adding to 13456 its reverse (65431), we get a palindrome (78887).

It can be divided in two parts, 134 and 56, that added together give a triangular number (190 = T_{19}).

The spelling of 13456 in words is "thirteen thousand, four hundred fifty-six".

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