13648 has 10 divisors (see below), whose sum is σ = 26474. Its totient is φ = 6816.

The previous prime is 13633. The next prime is 13649. The reversal of 13648 is 84631.

It can be written as a sum of positive squares in only one way, i.e., 8464 + 5184 = 92^2 + 72^2 .

It is a nialpdrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411 + ... + 442.

2¹³⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

13648 is a deficient number, since it is larger than the sum of its proper divisors (12826).

13648 is an equidigital number, since it uses as much as digits as its factorization.

13648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 13648 is about 116.8246549321. The cubic root of 13648 is about 23.8977128230.

The spelling of 13648 in words is "thirteen thousand, six hundred forty-eight".