38657 has 8 divisors (see below), whose sum is σ = 42240. Its totient is φ = 35280.

The previous prime is 38653. The next prime is 38669. The reversal of 38657 is 75683.

38657 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38657 - 2² = 38653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a d-powerful number, because it can be written as 3⁷ + 8⁵ + 6⁴ + 5 + 7⁴ .

It is a Duffinian number.

38657 is an undulating number in base 6.

It is not an unprimeable number, because it can be changed into a prime (38651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (5280).

It is a Proth number, since it is equal to 151 ⋅ 2⁸ + 1 and 151 < 2⁸.

2³⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

38657 is a deficient number, since it is larger than the sum of its proper divisors (3583).

38657 is a wasteful number, since it uses less digits than its factorization.

38657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103.

The product of its digits is 5040, while the sum is 29.

The square root of 38657 is about 196.6138347116. The cubic root of 38657 is about 33.8124039765.

The spelling of 38657 in words is "thirty-eight thousand, six hundred fifty-seven".