• 41 can be written using four 4's:
41 has 2 divisors, whose sum is σ = 42. Its totient is φ = 40.
The previous prime is 37. The next prime is 43. The reversal of 41 is 14.
Added to its reverse (14) it gives a triangular number (55 = T10).
41 is nontrivially palindromic in base 5.
41 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
41 is an esthetic number in base 7, base 9 and base 13, because in such bases its adjacent digits differ by 1.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 25 + 16 = 5^2 + 4^2 .
It is a cyclic number.
It is not a de Polignac number, because 41 - 22 = 37 is a prime.
It is a Sophie Germain prime.
Together with 43, it forms a pair of twin primes.
It is a Chen prime.
It is a magnanimous number.
It is an alternating number because its digits alternate between even and odd.
41 is an undulating number in base 5.
It is a Curzon number.
It is a plaindrome in base 3, base 7, base 9, base 11, base 12, base 14, base 15 and base 16.
It is a nialpdrome in base 4, base 8, base 10 and base 13.
It is a congruent number.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a good prime.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20 + 21.
It is an arithmetic number, because the mean of its divisors is an integer number (21).
It is a Proth number, since it is equal to 5 ⋅ 23 + 1 and 5 < 23.
41 is the 5-th centered square number.
It is an amenable number.
41 is a deficient number, since it is larger than the sum of its proper divisors (1).
41 is an equidigital number, since it uses as much as digits as its factorization.
41 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 4, while the sum is 5.
The square root of 41 is about 6.4031242374. The cubic root of 41 is about 3.4482172404.
Adding to 41 its reverse (14), we get a palindrome (55).
Subtracting from 41 its reverse (14), we obtain a cube (27 = 33).
The spelling of 41 in words is "forty-one", and thus it is an aban number, an iban number, and an uban number.
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