38261 has 2 divisors, whose sum is σ = 38262. Its totient is φ = 38260.

The previous prime is 38239. The next prime is 38273. The reversal of 38261 is 16283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37636 + 625 = 194^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 38261 - 2⁶ = 38197 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19130 + 19131.

It is an arithmetic number, because the mean of its divisors is an integer number (19131).

2³⁸²⁶¹ is an apocalyptic number.

It is an amenable number.

38261 is a deficient number, since it is larger than the sum of its proper divisors (1).

38261 is an equidigital number, since it uses as much as digits as its factorization.

38261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 20.

The square root of 38261 is about 195.6041921841. The cubic root of 38261 is about 33.6965500552.

Subtracting from 38261 its product of digits (288), we obtain a palindrome (37973).

The spelling of 38261 in words is "thirty-eight thousand, two hundred sixty-one".