38041 has 4 divisors (see below), whose sum is σ = 38500. Its totient is φ = 37584.

The previous prime is 38039. The next prime is 38047. The reversal of 38041 is 14083.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 27225 + 10816 = 165^2 + 104^2 .

It is a cyclic number.

It is not a de Polignac number, because 38041 - 2¹ = 38039 is a prime.

It is a Duffinian number.

38041 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38047) 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 3 ways as a sum of consecutive naturals, for example, 66 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (9625).

2³⁸⁰⁴¹ is an apocalyptic number.

It is an amenable number.

38041 is a deficient number, since it is larger than the sum of its proper divisors (459).

38041 is a wasteful number, since it uses less digits than its factorization.

38041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 38041 is about 195.0410213263. The cubic root of 38041 is about 33.6318410370.

Subtracting from 38041 its sum of digits (16), we obtain a square (38025 = 195²).

The spelling of 38041 in words is "thirty-eight thousand, forty-one".