41681 has 2 divisors, whose sum is σ = 41682. Its totient is φ = 41680.

The previous prime is 41669. The next prime is 41687. The reversal of 41681 is 18614.

41681 is an esthetic number in base 7, because in such base 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., 40000 + 1681 = 200^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 41681 - 2⁶ = 41617 is a prime.

It is a super-2 number, since 2×41681² = 3474611522, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (41687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20840 + 20841.

It is an arithmetic number, because the mean of its divisors is an integer number (20841).

2⁴¹⁶⁸¹ is an apocalyptic number.

It is an amenable number.

41681 is a deficient number, since it is larger than the sum of its proper divisors (1).

41681 is an equidigital number, since it uses as much as digits as its factorization.

41681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 192, while the sum is 20.

The square root of 41681 is about 204.1592515660. The cubic root of 41681 is about 34.6720385331.

It can be divided in two parts, 4 and 1681, that multiplied together give a square (6724 = 82²).

The spelling of 41681 in words is "forty-one thousand, six hundred eighty-one".