2819825 has 12 divisors (see below), whose sum is σ = 3524700. Its totient is φ = 2237760.

The previous prime is 2819801. The next prime is 2819827. The reversal of 2819825 is 5289182.

2819825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 247009 + 2572816 = 497^2 + 1604^2 .

It is not a de Polignac number, because 2819825 - 2¹⁴ = 2803441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2819827) 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, 3347 + ... + 4103.

It is an arithmetic number, because the mean of its divisors is an integer number (293725).

2^2819825 is an apocalyptic number.

2819825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2819825 is a deficient number, since it is larger than the sum of its proper divisors (704875).

2819825 is a wasteful number, since it uses less digits than its factorization.

2819825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 911 counting only the distinct ones).

The product of its digits is 11520, while the sum is 35.

The square root of 2819825 is about 1679.2334560745. The cubic root of 2819825 is about 141.2778419025.

The spelling of 2819825 in words is "two million, eight hundred nineteen thousand, eight hundred twenty-five".