2828125 has 14 divisors (see below), whose sum is σ = 3554642. Its totient is φ = 2250000.

The previous prime is 2828123. The next prime is 2828129. The reversal of 2828125 is 5218282.

It can be written as a sum of positive squares in 7 ways, for example, as 2452356 + 375769 = 1566^2 + 613^2 .

It is not a de Polignac number, because 2828125 - 2¹ = 2828123 is a prime.

It is a Duffinian number.

2828125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2828093 and 2828102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828123) 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 13 ways as a sum of consecutive naturals, for example, 15535 + ... + 15715.

It is an arithmetic number, because the mean of its divisors is an integer number (253903).

2^2828125 is an apocalyptic number.

2828125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2828125 is a deficient number, since it is larger than the sum of its proper divisors (726517).

2828125 is an frugal number, since it uses more digits than its factorization.

2828125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 186 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 2828125 is about 1681.7030058842. The cubic root of 2828125 is about 141.4163206456.

The spelling of 2828125 in words is "two million, eight hundred twenty-eight thousand, one hundred twenty-five".