10005441 has 8 divisors (see below), whose sum is σ = 13446144. Its totient is φ = 6617520.

The previous prime is 10005431. The next prime is 10005451. The reversal of 10005441 is 14450001.

It is an interprime number because it is at equal distance from previous prime (10005431) and next prime (10005451).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10005441 - 2¹⁵ = 9972673 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10005441.

It is not an unprimeable number, because it can be changed into a prime (10005421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12750 + ... + 13511.

It is an arithmetic number, because the mean of its divisors is an integer number (1680768).

Almost surely, 2^10005441 is an apocalyptic number.

It is an amenable number.

10005441 is a deficient number, since it is larger than the sum of its proper divisors (3440703).

10005441 is a wasteful number, since it uses less digits than its factorization.

10005441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26391.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10005441 is about 3163.1378408157. The cubic root of 10005441 is about 215.4825361824.

Adding to 10005441 its reverse (14450001), we get a palindrome (24455442).

It can be divided in two parts, 1000 and 5441, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 10005441 in words is "ten million, five thousand, four hundred forty-one".