41801 has 2 divisors, whose sum is σ = 41802. Its totient is φ = 41800.

The previous prime is 41777. The next prime is 41809. The reversal of 41801 is 10814.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22201 + 19600 = 149^2 + 140^2 .

It is a cyclic number.

It is not a de Polignac number, because 41801 - 2⁶ = 41737 is a prime.

It is a Chen prime.

It is equal to p₄₃₇₀ and since 41801 and 4370 have the same sum of digits, it is a Honaker prime.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41809) 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, 20900 + 20901.

It is an arithmetic number, because the mean of its divisors is an integer number (20901).

2⁴¹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

41801 is a deficient number, since it is larger than the sum of its proper divisors (1).

41801 is an equidigital number, since it uses as much as digits as its factorization.

41801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 41801 is about 204.4529285679. The cubic root of 41801 is about 34.7052803631.

The spelling of 41801 in words is "forty-one thousand, eight hundred one".