38757 has 4 divisors (see below), whose sum is σ = 51680. Its totient is φ = 25836.

The previous prime is 38749. The next prime is 38767. The reversal of 38757 is 75783.

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: 75783 = 3 ⋅25261.

It is not a de Polignac number, because 38757 - 2³ = 38749 is a prime.

It is a D-number.

It is a Duffinian number.

38757 is a lucky number.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38707) 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, 6457 + ... + 6462.

It is an arithmetic number, because the mean of its divisors is an integer number (12920).

2³⁸⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

38757 is a deficient number, since it is larger than the sum of its proper divisors (12923).

38757 is a wasteful number, since it uses less digits than its factorization.

38757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12922.

The product of its digits is 5880, while the sum is 30.

The square root of 38757 is about 196.8679760652. The cubic root of 38757 is about 33.8415347850.

It can be divided in two parts, 387 and 57, that added together give a palindrome (444).

The spelling of 38757 in words is "thirty-eight thousand, seven hundred fifty-seven".