3857 has 8 divisors (see below), whose sum is σ = 4800. Its totient is φ = 3024.

The previous prime is 3853. The next prime is 3863. The reversal of 3857 is 7583.

3857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 3857 - 2² = 3853 is a prime.

It is a Duffinian number.

3857 is a modest number, since divided by 57 gives 38 as remainder.

It is a plaindrome in base 15.

It is a nialpdrome in base 8 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3857.

It is not an unprimeable number, because it can be changed into a prime (3851) 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, 119 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

It is an amenable number.

3857 is a deficient number, since it is larger than the sum of its proper divisors (943).

3857 is a wasteful number, since it uses less digits than its factorization.

3857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55.

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

The square root of 3857 is about 62.1047502209. The cubic root of 3857 is about 15.6825451408.

The spelling of 3857 in words is "three thousand, eight hundred fifty-seven".