38957 has 4 divisors (see below), whose sum is σ = 39360. Its totient is φ = 38556.

The previous prime is 38953. The next prime is 38959. The reversal of 38957 is 75983.

38957 is nontrivially palindromic in base 9.

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 a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 38957 - 2² = 38953 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38953) 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 in 3 ways as a sum of consecutive naturals, for example, 44 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (9840).

2³⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

38957 is a deficient number, since it is larger than the sum of its proper divisors (403).

38957 is a wasteful number, since it uses less digits than its factorization.

38957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its digits is 7560, while the sum is 32.

The square root of 38957 is about 197.3752770739. The cubic root of 38957 is about 33.8996464201.

The spelling of 38957 in words is "thirty-eight thousand, nine hundred fifty-seven".