38057 has 4 divisors (see below), whose sum is σ = 40080. Its totient is φ = 36036.

The previous prime is 38053. The next prime is 38069. The reversal of 38057 is 75083.

38057 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.

It is a cyclic number.

It is not a de Polignac number, because 38057 - 2² = 38053 is a prime.

It is a Duffinian number.

38057 is a modest number, since divided by 57 gives 38 as remainder.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38053) 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, 983 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (10020).

2³⁸⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

38057 is a deficient number, since it is larger than the sum of its proper divisors (2023).

38057 is a wasteful number, since it uses less digits than its factorization.

38057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 38057 is about 195.0820340267. The cubic root of 38057 is about 33.6365555471.

The spelling of 38057 in words is "thirty-eight thousand, fifty-seven".