41009 has 4 divisors (see below), whose sum is σ = 42816. Its totient is φ = 39204.

The previous prime is 40993. The next prime is 41011. The reversal of 41009 is 90014.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 90014 = 2 ⋅45007.

It is a cyclic number.

It is not a de Polignac number, because 41009 - 2⁴ = 40993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40984 and 41002.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41009.

It is not an unprimeable number, because it can be changed into a prime (41039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 869 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (10704).

2⁴¹⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

41009 is a deficient number, since it is larger than the sum of its proper divisors (1807).

41009 is a wasteful number, since it uses less digits than its factorization.

41009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 41009 is about 202.5067900096. The cubic root of 41009 is about 34.4846953050.

The spelling of 41009 in words is "forty-one thousand, nine".