4812819 has 32 divisors (see below), whose sum is σ = 7755264. Its totient is φ = 2618880.

The previous prime is 4812799. The next prime is 4812827. The reversal of 4812819 is 9182184.

It is not a de Polignac number, because 4812819 - 2⁹ = 4812307 is a prime.

It is a super-2 number, since 2×4812819² = 46326453453522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 4812819.

It is not an unprimeable number, because it can be changed into a prime (4812859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12717 + ... + 13089.

It is an arithmetic number, because the mean of its divisors is an integer number (242352).

Almost surely, 2^4812819 is an apocalyptic number.

4812819 is the 1173-rd nonagonal number.

4812819 is a deficient number, since it is larger than the sum of its proper divisors (2942445).

4812819 is a wasteful number, since it uses less digits than its factorization.

4812819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its digits is 4608, while the sum is 33.

The square root of 4812819 is about 2193.8138024910. The cubic root of 4812819 is about 168.8365657366.

It can be divided in two parts, 4812 and 819, that multiplied together give a triangular number (3941028 = T₂₈₀₇).

The spelling of 4812819 in words is "four million, eight hundred twelve thousand, eight hundred nineteen".