9038241 has 24 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 5634816.

The previous prime is 9038231. The next prime is 9038257. The reversal of 9038241 is 1428309.

It is not a de Polignac number, because 9038241 - 2¹⁵ = 9005473 is a prime.

9038241 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9038221) 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 23 ways as a sum of consecutive naturals, for example, 9265 + ... + 10193.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 2^9038241 is an apocalyptic number.

It is an amenable number.

9038241 is a deficient number, since it is larger than the sum of its proper divisors (4889439).

9038241 is a wasteful number, since it uses less digits than its factorization.

9038241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9038241 is about 3006.3667440949. The cubic root of 9038241 is about 208.3025752280.

The spelling of 9038241 in words is "nine million, thirty-eight thousand, two hundred forty-one".