2828205 has 24 divisors (see below), whose sum is σ = 5191992. Its totient is φ = 1419264.

The previous prime is 2828197. The next prime is 2828209. The reversal of 2828205 is 5028282.

It can be written as a sum of positive squares in 4 ways, for example, as 145161 + 2683044 = 381^2 + 1638^2 .

It is not a de Polignac number, because 2828205 - 2³ = 2828197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084 + ... + 2613.

It is an arithmetic number, because the mean of its divisors is an integer number (216333).

2^2828205 is an apocalyptic number.

It is an amenable number.

2828205 is a deficient number, since it is larger than the sum of its proper divisors (2363787).

2828205 is a wasteful number, since it uses less digits than its factorization.

2828205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2828205 is about 1681.7267911287. The cubic root of 2828205 is about 141.4176540613.

The spelling of 2828205 in words is "two million, eight hundred twenty-eight thousand, two hundred five".