41676 has 24 divisors (see below), whose sum is σ = 102144. Its totient is φ = 13200.

The previous prime is 41669. The next prime is 41681. The reversal of 41676 is 67614.

41676 = 64² + 65² + ... + 72².

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

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41676.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 351.

It is an arithmetic number, because the mean of its divisors is an integer number (4256).

2⁴¹⁶⁷⁶ is an apocalyptic number.

41676 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51072).

41676 is an abundant number, since it is smaller than the sum of its proper divisors (60468).

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

41676 is a wasteful number, since it uses less digits than its factorization.

41676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 179 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 41676 is about 204.1470058561. The cubic root of 41676 is about 34.6706520730.

It can be divided in two parts, 41 and 676, that added together give a palindrome (717).

The spelling of 41676 in words is "forty-one thousand, six hundred seventy-six".