2838635 has 16 divisors (see below), whose sum is σ = 3562272. Its totient is φ = 2169600.

The previous prime is 2838631. The next prime is 2838697. The reversal of 2838635 is 5368382.

2838635 = 185² + 186² + ... + 245².

2838635 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2838635 - 2² = 2838631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2838595 and 2838604.

It is not an unprimeable number, because it can be changed into a prime (2838631) 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 15 ways as a sum of consecutive naturals, for example, 12392 + ... + 12618.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

2^2838635 is an apocalyptic number.

2838635 is a deficient number, since it is larger than the sum of its proper divisors (723637).

2838635 is a wasteful number, since it uses less digits than its factorization.

2838635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334.

The product of its digits is 34560, while the sum is 35.

The square root of 2838635 is about 1684.8249167198. The cubic root of 2838635 is about 141.5912832314.

The spelling of 2838635 in words is "two million, eight hundred thirty-eight thousand, six hundred thirty-five".