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4873 = 11443

4873 has 4 divisors (see below), whose sum is σ = 5328. Its totient is φ = 4420.

The previous prime is 4871. The next prime is 4877. The reversal of 4873 is 3784.

Subtracting from 4873 its sum of digits (22), we obtain a triangular number (4851 = T98).

Subtracting from 4873 its reverse (3784), we obtain a square (1089 = 332).

It can be divided in two parts, 48 and 73, that added together give a palindrome (121).

4873 is nontrivially palindromic in base 8.

It is the 29-th star number.

4873 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 4873 - 21 = 4871 is a prime.

It is a super-2 number, since 2×48732 = 47492258, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 13 and base 15.

It is not an unprimeable number, because it can be changed into a prime (4871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211 + ... + 232.

It is an arithmetic number, because the mean of its divisors is an integer number (1332).

24873 is an apocalyptic number.

It is an amenable number.

4873 is a deficient number, since it is larger than the sum of its proper divisors (455).

4873 is a wasteful number, since it uses less digits than its factorization.

4873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454.

The product of its digits is 672, while the sum is 22.

The square root of 4873 is about 69.8068764521. The cubic root of 4873 is about 16.9537381208.

The spelling of 4873 in words is "four thousand, eight hundred seventy-three".

Divisors: 1 11 443 4873