3853 has 2 divisors, whose sum is σ = 3854. Its totient is φ = 3852.

The previous prime is 3851. The next prime is 3863. The reversal of 3853 is 3583.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3844 + 9 = 62^2 + 3^2 .

3853 is a truncatable prime.

It is an emirp because it is prime and its reverse (3583) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3853 - 2¹ = 3851 is a prime.

Together with 3851, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 3853.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3851) 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 as a sum of consecutive naturals, namely, 1926 + 1927.

It is an arithmetic number, because the mean of its divisors is an integer number (1927).

2³⁸⁵³ is an apocalyptic number.

It is an amenable number.

3853 is a deficient number, since it is larger than the sum of its proper divisors (1).

3853 is an equidigital number, since it uses as much as digits as its factorization.

3853 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 19.

The square root of 3853 is about 62.0725382114. The cubic root of 3853 is about 15.6771219381.

It can be divided in two parts, 38 and 53, that added together give a triangular number (91 = T₁₃).

The spelling of 3853 in words is "three thousand, eight hundred fifty-three".