5648 has 10 divisors (see below), whose sum is σ = 10974. Its totient is φ = 2816.

The previous prime is 5647. The next prime is 5651. The reversal of 5648 is 8465.

It can be written as a sum of positive squares in only one way, i.e., 4624 + 1024 = 68^2 + 32^2 .

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161 + ... + 192.

2⁵⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

5648 is a deficient number, since it is larger than the sum of its proper divisors (5326).

5648 is a wasteful number, since it uses less digits than its factorization.

5648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 5648 is about 75.1531769122. The cubic root of 5648 is about 17.8086731288.

Adding to 5648 its sum of digits (23), we get a triangular number (5671 = T₁₀₆).

Subtracting from 5648 its sum of digits (23), we obtain a square (5625 = 75²).

It can be divided in two parts, 5 and 648, that multiplied together give a triangular number (3240 = T₈₀).

The spelling of 5648 in words is "five thousand, six hundred forty-eight".