41636 has 12 divisors (see below), whose sum is σ = 83328. Its totient is φ = 17832.

The previous prime is 41627. The next prime is 41641. The reversal of 41636 is 63614.

41636 = T₉₈ + T₉₉ + ... + T₁₀₅.

41636 is an admirable number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41636.

It is an unprimeable number.

41636 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 716 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2⁴¹⁶³⁶ is an apocalyptic number.

It is an amenable number.

41636 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

41636 is a wasteful number, since it uses less digits than its factorization.

41636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1496 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 41636 is about 204.0490137197. The cubic root of 41636 is about 34.6595563984.

Subtracting from 41636 its sum of digits (20), we obtain a triangular number (41616 = T₂₈₈).

The spelling of 41636 in words is "forty-one thousand, six hundred thirty-six".