4851 has 18 divisors (see below), whose sum is σ = 8892. Its totient is φ = 2520.

The previous prime is 4831. The next prime is 4861. The reversal of 4851 is 1584.

4851 is nontrivially palindromic in base 6.

4851 is a nontrivial binomial coefficient, being equal to C(99, 2).

It is not a de Polignac number, because 4851 - 2⁶ = 4787 is a prime.

4851 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 436 + ... + 446.

It is an arithmetic number, because the mean of its divisors is an integer number (494).

4851 is the 98-th triangular number.

4851 is a deficient number, since it is larger than the sum of its proper divisors (4041).

4851 is a wasteful number, since it uses less digits than its factorization.

4851 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 21 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 4851 is about 69.6491205975. The cubic root of 4851 is about 16.9281861030.

Multiplying 4851 by its reverse (1584), we get a square (7683984 = 2772²).

It can be divided in two parts, 48 and 51, that added together give a palindrome (99).

The spelling of 4851 in words is "four thousand, eight hundred fifty-one".