38461 has 2 divisors, whose sum is σ = 38462. Its totient is φ = 38460.

The previous prime is 38459. The next prime is 38501. The reversal of 38461 is 16483.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 11236 = 165^2 + 106^2 .

It is a cyclic number.

It is not a de Polignac number, because 38461 - 2¹ = 38459 is a prime.

Together with 38459, it forms a pair of twin primes.

It is a Chen prime.

38461 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19230 + 19231.

It is an arithmetic number, because the mean of its divisors is an integer number (19231).

2³⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

38461 is a deficient number, since it is larger than the sum of its proper divisors (1).

38461 is an equidigital number, since it uses as much as digits as its factorization.

38461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 22.

The square root of 38461 is about 196.1147623204. The cubic root of 38461 is about 33.7551615334.

Adding to 38461 its sum of digits (22), we get a palindrome (38483).

It can be divided in two parts, 3 and 8461, that added together give a square (8464 = 92²).

The spelling of 38461 in words is "thirty-eight thousand, four hundred sixty-one".