5641 has 2 divisors, whose sum is σ = 5642. Its totient is φ = 5640.

The previous prime is 5639. The next prime is 5647. The reversal of 5641 is 1465.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5625 + 16 = 75^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 5641 - 2¹ = 5639 is a prime.

Together with 5639, it forms a pair of twin primes.

5641 is a lucky number.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (5647) 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 as a sum of consecutive naturals, namely, 2820 + 2821.

It is an arithmetic number, because the mean of its divisors is an integer number (2821).

2⁵⁶⁴¹ is an apocalyptic number.

5641 is the 48-th centered pentagonal number.

It is an amenable number.

5641 is a deficient number, since it is larger than the sum of its proper divisors (1).

5641 is an equidigital number, since it uses as much as digits as its factorization.

5641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120, while the sum is 16.

The square root of 5641 is about 75.1065909225. The cubic root of 5641 is about 17.8013128687.

Subtracting from 5641 its sum of digits (16), we obtain a square (5625 = 75²).

It can be divided in two parts, 564 and 1, that added together give a palindrome (565).

The spelling of 5641 in words is "five thousand, six hundred forty-one".