38557 has 2 divisors, whose sum is σ = 38558. Its totient is φ = 38556.

The previous prime is 38543. The next prime is 38561. The reversal of 38557 is 75583.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30276 + 8281 = 174^2 + 91^2 .

It is an emirp because it is prime and its reverse (75583) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-38557 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 (38567) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19278 + 19279.

It is an arithmetic number, because the mean of its divisors is an integer number (19279).

2³⁸⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

38557 is a deficient number, since it is larger than the sum of its proper divisors (1).

38557 is an equidigital number, since it uses as much as digits as its factorization.

38557 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4200, while the sum is 28.

The square root of 38557 is about 196.3593644316. The cubic root of 38557 is about 33.7832228865.

It can be divided in two parts, 385 and 57, that multiplied together give a triangular number (21945 = T₂₀₉).

The spelling of 38557 in words is "thirty-eight thousand, five hundred fifty-seven".