10005741 has 16 divisors (see below), whose sum is σ = 15696000. Its totient is φ = 6277824.

The previous prime is 10005731. The next prime is 10005773. The reversal of 10005741 is 14750001.

It is not a de Polignac number, because 10005741 - 2¹⁵ = 9972973 is a prime.

It is a super-2 number, since 2×10005741² = 200229705918162, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10441 + ... + 11358.

It is an arithmetic number, because the mean of its divisors is an integer number (981000).

Almost surely, 2^10005741 is an apocalyptic number.

It is an amenable number.

10005741 is a deficient number, since it is larger than the sum of its proper divisors (5690259).

10005741 is a wasteful number, since it uses less digits than its factorization.

10005741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21825 (or 21819 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10005741 is about 3163.1852617259. The cubic root of 10005741 is about 215.4846898144.

Adding to 10005741 its reverse (14750001), we get a palindrome (24755742).

The spelling of 10005741 in words is "ten million, five thousand, seven hundred forty-one".