9041 has 2 divisors, whose sum is σ = 9042. Its totient is φ = 9040.

The previous prime is 9029. The next prime is 9043. The reversal of 9041 is 1409.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9025 + 16 = 95^2 + 4^2 .

It is an emirp because it is prime and its reverse (1409) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9041 - 2¹⁰ = 8017 is a prime.

Together with 9043, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 9041.

It is not a weakly prime, because it can be changed into another prime (9043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4520 + 4521.

It is an arithmetic number, because the mean of its divisors is an integer number (4521).

2⁹⁰⁴¹ is an apocalyptic number.

It is an amenable number.

9041 is a deficient number, since it is larger than the sum of its proper divisors (1).

9041 is an equidigital number, since it uses as much as digits as its factorization.

9041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 9041 is about 95.0841732361. The cubic root of 9041 is about 20.8323768450.

It can be divided in two parts, 90 and 41, that added together give a palindrome (131).

The spelling of 9041 in words is "nine thousand, forty-one".