47853 has 12 divisors (see below), whose sum is σ = 74620. Its totient is φ = 29376.

The previous prime is 47843. The next prime is 47857. The reversal of 47853 is 35874.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 21609 = 162^2 + 147^2 .

It is not a de Polignac number, because 47853 - 2⁴ = 47837 is a prime.

It is a Curzon number.

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 47853.

It is not an unprimeable number, because it can be changed into a prime (47857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88 + ... + 321.

2⁴⁷⁸⁵³ is an apocalyptic number.

It is an amenable number.

47853 is a deficient number, since it is larger than the sum of its proper divisors (26767).

47853 is a wasteful number, since it uses less digits than its factorization.

47853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 425 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 47853 is about 218.7532856896. The cubic root of 47853 is about 36.3052743742.

It can be divided in two parts, 47 and 853, that added together give a square (900 = 30²).

The spelling of 47853 in words is "forty-seven thousand, eight hundred fifty-three".