16857 has 6 divisors (see below), whose sum is σ = 24362. Its totient is φ = 11232.

The previous prime is 16843. The next prime is 16871. The reversal of 16857 is 75861.

It is an interprime number because it is at equal distance from previous prime (16843) and next prime (16871).

It can be written as a sum of positive squares in only one way, i.e., 9801 + 7056 = 99^2 + 84^2 .

It is not a de Polignac number, because 16857 - 2⁷ = 16729 is a prime.

It is a d-powerful number, because it can be written as 1 + 6² + 8 + 5 + 7⁵ .

It is a Duffinian number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 16857.

It is not an unprimeable number, because it can be changed into a prime (16057) 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 5 ways as a sum of consecutive naturals, for example, 928 + ... + 945.

2¹⁶⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

16857 is a deficient number, since it is larger than the sum of its proper divisors (7505).

16857 is a wasteful number, since it uses less digits than its factorization.

16857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1876 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 16857 is about 129.8345100503. The cubic root of 16857 is about 25.6405160839.

It can be divided in two parts, 168 and 57, that added together give a square (225 = 15²).

The spelling of 16857 in words is "sixteen thousand, eight hundred fifty-seven".