2785905 has 12 divisors (see below), whose sum is σ = 4828980. Its totient is φ = 1485792.

The previous prime is 2785903. The next prime is 2785907. The reversal of 2785905 is 5095872.

It is an interprime number because it is at equal distance from previous prime (2785903) and next prime (2785907).

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 848241 = 1392^2 + 921^2 .

It is not a de Polignac number, because 2785905 - 2¹ = 2785903 is a prime.

It is a super-2 number, since 2×2785905² = 15522533338050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2785905.

It is not an unprimeable number, because it can be changed into a prime (2785901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30910 + ... + 30999.

It is an arithmetic number, because the mean of its divisors is an integer number (402415).

2^2785905 is an apocalyptic number.

It is an amenable number.

2785905 is a deficient number, since it is larger than the sum of its proper divisors (2043075).

2785905 is a wasteful number, since it uses less digits than its factorization.

2785905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61920 (or 61917 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2785905 is about 1669.1030525405. The cubic root of 2785905 is about 140.7090726901.

The spelling of 2785905 in words is "two million, seven hundred eighty-five thousand, nine hundred five".