38857 has 12 divisors (see below), whose sum is σ = 49476. Its totient is φ = 30240.

The previous prime is 38851. The next prime is 38861. The reversal of 38857 is 75883.

38857 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 3136 + 35721 = 56^2 + 189^2 .

It is not a de Polignac number, because 38857 - 2⁷ = 38729 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607 + ... + 667.

It is an arithmetic number, because the mean of its divisors is an integer number (4123).

2³⁸⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

38857 is a deficient number, since it is larger than the sum of its proper divisors (10619).

38857 is a wasteful number, since it uses less digits than its factorization.

38857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 81 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 38857 is about 197.1217897646. The cubic root of 38857 is about 33.8706155280.

The spelling of 38857 in words is "thirty-eight thousand, eight hundred fifty-seven".