41761 has 2 divisors, whose sum is σ = 41762. Its totient is φ = 41760.
The previous prime is 41759. The next prime is 41771. The reversal of 41761 is 16714.
It is a happy number.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 21025 + 20736 = 145^2 + 144^2 .
It is a cyclic number.
It is not a de Polignac number, because 41761 - 21 = 41759 is a prime.
It is a super-2 number, since 2×417612 = 3487962242, which contains 22 as substring.
Together with 41759, it forms a pair of twin primes.
It is a Chen prime.
It is a nialpdrome in base 16.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (41771) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20880 + 20881.
It is an arithmetic number, because the mean of its divisors is an integer number (20881).
241761 is an apocalyptic number.
41761 is the 145-th centered square number.
It is an amenable number.
41761 is a deficient number, since it is larger than the sum of its proper divisors (1).
41761 is an equidigital number, since it uses as much as digits as its factorization.
41761 is an evil number, because the sum of its binary digits is even.
The product of its digits is 168, while the sum is 19.
The square root of 41761 is about 204.3550831274. The cubic root of 41761 is about 34.6942068302.
The spelling of 41761 in words is "forty-one thousand, seven hundred sixty-one".
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