10003541 has 2 divisors, whose sum is σ = 10003542. Its totient is φ = 10003540.

The previous prime is 10003529. The next prime is 10003559. The reversal of 10003541 is 14530001.

10003541 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6355441 + 3648100 = 2521^2 + 1910^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003541 - 2¹⁴ = 9987157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001770 + 5001771.

It is an arithmetic number, because the mean of its divisors is an integer number (5001771).

Almost surely, 2^10003541 is an apocalyptic number.

It is an amenable number.

10003541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003541 is an equidigital number, since it uses as much as digits as its factorization.

10003541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10003541 is about 3162.8374918734. The cubic root of 10003541 is about 215.4688955130.

Adding to 10003541 its reverse (14530001), we get a palindrome (24533542).

The spelling of 10003541 in words is "ten million, three thousand, five hundred forty-one".