4872033 has 12 divisors (see below), whose sum is σ = 7056660. Its totient is φ = 3239136.

The previous prime is 4872001. The next prime is 4872041. The reversal of 4872033 is 3302784.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 2934369 = 1392^2 + 1713^2 .

It is not a de Polignac number, because 4872033 - 2⁵ = 4872001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4871988 and 4872006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4872083) 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, 5463 + ... + 6291.

It is an arithmetic number, because the mean of its divisors is an integer number (588055).

Almost surely, 2^4872033 is an apocalyptic number.

It is an amenable number.

4872033 is a deficient number, since it is larger than the sum of its proper divisors (2184627).

4872033 is a wasteful number, since it uses less digits than its factorization.

4872033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4872033 is about 2207.2682211276. The cubic root of 4872033 is about 169.5261661121.

The spelling of 4872033 in words is "four million, eight hundred seventy-two thousand, thirty-three".