4041 has 6 divisors (see below), whose sum is σ = 5850. Its totient is φ = 2688.

The previous prime is 4027. The next prime is 4049. The reversal of 4041 is 1404.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 441 = 60^2 + 21^2 .

It is not a de Polignac number, because 4041 - 2⁹ = 3529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 449 = 4041 / (4 + 0 + 4 + 1).

4041 is a lucky number.

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4041.

It is not an unprimeable number, because it can be changed into a prime (4049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 216 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (975).

2⁴⁰⁴¹ is an apocalyptic number.

It is an amenable number.

4041 is a deficient number, since it is larger than the sum of its proper divisors (1809).

4041 is a wasteful number, since it uses less digits than its factorization.

4041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4041 is about 63.5688603013. The cubic root of 4041 is about 15.9280624633.

Adding to 4041 its reverse (1404), we get a palindrome (5445).

It can be divided in two parts, 40 and 41, that added together give a 4-th power (81 = 3⁴).

The spelling of 4041 in words is "four thousand, forty-one", and thus it is an iban number.