31041 has 6 divisors (see below), whose sum is σ = 44850. Its totient is φ = 20688.

The previous prime is 31039. The next prime is 31051. The reversal of 31041 is 14013.

31041 = 20² + 21² + ... + 46².

It can be written as a sum of positive squares in only one way, i.e., 16641 + 14400 = 129^2 + 120^2 .

It is not a de Polignac number, because 31041 - 2¹ = 31039 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: 3449 = 31041 / (3 + 1 + 0 + 4 + 1).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (31051) 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, 1716 + ... + 1733.

It is an arithmetic number, because the mean of its divisors is an integer number (7475).

2³¹⁰⁴¹ is an apocalyptic number.

It is an amenable number.

31041 is a deficient number, since it is larger than the sum of its proper divisors (13809).

31041 is a wasteful number, since it uses less digits than its factorization.

31041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31041 is about 176.1845623203. The cubic root of 31041 is about 31.4276495204.

Adding to 31041 its reverse (14013), we get a palindrome (45054).

It can be divided in two parts, 310 and 41, that added together give a triangular number (351 = T₂₆).

The spelling of 31041 in words is "thirty-one thousand, forty-one".