4872100 has 36 divisors (see below), whose sum is σ = 10718064. Its totient is φ = 1922080.

The previous prime is 4872097. The next prime is 4872103. The reversal of 4872100 is 12784.

It is an interprime number because it is at equal distance from previous prime (4872097) and next prime (4872103).

It is not an unprimeable number, because it can be changed into a prime (4872103) 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, 8007 + ... + 8593.

It is an arithmetic number, because the mean of its divisors is an integer number (297724).

Almost surely, 2^4872100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5359032).

4872100 is an abundant number, since it is smaller than the sum of its proper divisors (5845964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4872100 is a wasteful number, since it uses less digits than its factorization.

4872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 4872100 is about 2207.2833982069. The cubic root of 4872100 is about 169.5269432142.

Adding to 4872100 its reverse (12784), we get a palindrome (4884884).

The spelling of 4872100 in words is "four million, eight hundred seventy-two thousand, one hundred".