2782125 has 24 divisors (see below), whose sum is σ = 5017272. Its totient is φ = 1483200.

The previous prime is 2782123. The next prime is 2782127. The reversal of 2782125 is 5212872.

It is an interprime number because it is at equal distance from previous prime (2782123) and next prime (2782127).

It can be written as a sum of positive squares in 4 ways, for example, as 19881 + 2762244 = 141^2 + 1662^2 .

It is not a de Polignac number, because 2782125 - 2¹ = 2782123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782123) 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, 112 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (209053).

2^2782125 is an apocalyptic number.

2782125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2782125 is a deficient number, since it is larger than the sum of its proper divisors (2235147).

2782125 is a wasteful number, since it uses less digits than its factorization.

2782125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2481 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2782125 is about 1667.9703234770. The cubic root of 2782125 is about 140.6454044466.

Adding to 2782125 its reverse (5212872), we get a palindrome (7994997).

The spelling of 2782125 in words is "two million, seven hundred eighty-two thousand, one hundred twenty-five".