4837 has 4 divisors (see below), whose sum is σ = 5536. Its totient is φ = 4140.

The previous prime is 4831. The next prime is 4861. The reversal of 4837 is 7384.

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 4837 - 2¹¹ = 2789 is a prime.

It is a Duffinian number.

4837 is a lucky number.

It is a plaindrome in base 8 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4831) 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 3 ways as a sum of consecutive naturals, for example, 339 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (1384).

It is an amenable number.

4837 is a deficient number, since it is larger than the sum of its proper divisors (699).

4837 is an equidigital number, since it uses as much as digits as its factorization.

4837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

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

The square root of 4837 is about 69.5485441976. The cubic root of 4837 is about 16.9118854804.

Adding to 4837 its reverse (7384), we get a palindrome (12221).

It can be divided in two parts, 4 and 837, that added together give a square (841 = 29²).

The spelling of 4837 in words is "four thousand, eight hundred thirty-seven".