41007 has 4 divisors (see below), whose sum is σ = 54680. Its totient is φ = 27336.

The previous prime is 40993. The next prime is 41011. The reversal of 41007 is 70014.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 41007 - 2⁷ = 40879 is a prime.

It is an Ulam number.

It is a D-number.

It is the 203-rd Hogben number.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 40983 and 41001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41017) by changing a digit.

It is a nontrivial repunit in base 202.

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 3 ways as a sum of consecutive naturals, for example, 6832 + ... + 6837.

It is an arithmetic number, because the mean of its divisors is an integer number (13670).

2⁴¹⁰⁰⁷ is an apocalyptic number.

41007 is a deficient number, since it is larger than the sum of its proper divisors (13673).

41007 is a wasteful number, since it uses less digits than its factorization.

41007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13672.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 41007 is about 202.5018518434. The cubic root of 41007 is about 34.4841346922.

The spelling of 41007 in words is "forty-one thousand, seven", and thus it is an iban number.