38257 has 4 divisors (see below), whose sum is σ = 38896. Its totient is φ = 37620.

The previous prime is 38239. The next prime is 38261. The reversal of 38257 is 75283.

38257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 75283 = 13 ⋅5791.

It is a cyclic number.

It is not a de Polignac number, because 38257 - 2¹¹ = 36209 is a prime.

It is a d-powerful number, because it can be written as 3⁷ + 8⁵ + 2⁷ + 5⁵ + 7² .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 219 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (9724).

2³⁸²⁵⁷ is an apocalyptic number.

It is an amenable number.

38257 is a deficient number, since it is larger than the sum of its proper divisors (639).

38257 is an equidigital number, since it uses as much as digits as its factorization.

38257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638.

The product of its digits is 1680, while the sum is 25.

The square root of 38257 is about 195.5939671871. The cubic root of 38257 is about 33.6953757446.

The spelling of 38257 in words is "thirty-eight thousand, two hundred fifty-seven".