38241 has 12 divisors (see below), whose sum is σ = 63232. Its totient is φ = 21816.

The previous prime is 38239. The next prime is 38261. The reversal of 38241 is 14283.

It is a happy number.

It is not a de Polignac number, because 38241 - 2¹ = 38239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38201) 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 11 ways as a sum of consecutive naturals, for example, 241 + ... + 366.

2³⁸²⁴¹ is an apocalyptic number.

It is an amenable number.

38241 is a deficient number, since it is larger than the sum of its proper divisors (24991).

38241 is a wasteful number, since it uses less digits than its factorization.

38241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 617 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 38241 is about 195.5530618528. The cubic root of 38241 is about 33.6906776834.

The spelling of 38241 in words is "thirty-eight thousand, two hundred forty-one".