15041 has 6 divisors (see below), whose sum is σ = 16470. Its totient is φ = 13728.

The previous prime is 15031. The next prime is 15053. The reversal of 15041 is 14051.

15041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 400 + 14641 = 20^2 + 121^2 .

It is a de Polignac number, because none of the positive numbers 2^k-15041 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15041.

It is not an unprimeable number, because it can be changed into a prime (15031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 125 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (2745).

2¹⁵⁰⁴¹ is an apocalyptic number.

It is an amenable number.

15041 is a deficient number, since it is larger than the sum of its proper divisors (1429).

15041 is an equidigital number, since it uses as much as digits as its factorization.

15041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 15041 is about 122.6417547167. The cubic root of 15041 is about 24.6845702340.

Adding to 15041 its reverse (14051), we get a palindrome (29092).

Subtracting from 15041 its reverse (14051), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 150 and 41, that added together give a palindrome (191).

The spelling of 15041 in words is "fifteen thousand, forty-one".