41814 has 24 divisors (see below), whose sum is σ = 95472. Its totient is φ = 13200.

The previous prime is 41813. The next prime is 41843.

41814 is nontrivially palindromic in base 10.

41814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41814.

It is not an unprimeable number, because it can be changed into a prime (41813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (3978).

2⁴¹⁸¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47736).

41814 is an abundant number, since it is smaller than the sum of its proper divisors (53658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41814 is a wasteful number, since it uses less digits than its factorization.

41814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 41814 is about 204.4847182554. The cubic root of 41814 is about 34.7088777402.

The spelling of 41814 in words is "forty-one thousand, eight hundred fourteen".