38561 has 2 divisors, whose sum is σ = 38562. Its totient is φ = 38560.

The previous prime is 38557. The next prime is 38567. The reversal of 38561 is 16583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28561 + 10000 = 169^2 + 100^2 .

It is a cyclic number.

It is not a de Polignac number, because 38561 - 2² = 38557 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (38567) 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 as a sum of consecutive naturals, namely, 19280 + 19281.

It is an arithmetic number, because the mean of its divisors is an integer number (19281).

2³⁸⁵⁶¹ is an apocalyptic number.

It is an amenable number.

38561 is a deficient number, since it is larger than the sum of its proper divisors (1).

38561 is an equidigital number, since it uses as much as digits as its factorization.

38561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 23.

The square root of 38561 is about 196.3695495743. The cubic root of 38561 is about 33.7843910983.

The spelling of 38561 in words is "thirty-eight thousand, five hundred sixty-one".