38157 has 16 divisors (see below), whose sum is σ = 61440. Its totient is φ = 20592.

The previous prime is 38153. The next prime is 38167. The reversal of 38157 is 75183.

It is not a de Polignac number, because 38157 - 2² = 38153 is a prime.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38157.

It is not an unprimeable number, because it can be changed into a prime (38153) 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 15 ways as a sum of consecutive naturals, for example, 444 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (3840).

2³⁸¹⁵⁷ is an apocalyptic number.

It is an amenable number.

38157 is a deficient number, since it is larger than the sum of its proper divisors (23283).

38157 is a wasteful number, since it uses less digits than its factorization.

38157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its digits is 840, while the sum is 24.

The square root of 38157 is about 195.3381683133. The cubic root of 38157 is about 33.6659913381.

The spelling of 38157 in words is "thirty-eight thousand, one hundred fifty-seven".