2809963 has 8 divisors (see below), whose sum is σ = 3046400. Its totient is φ = 2591784.

The previous prime is 2809931. The next prime is 2809973. The reversal of 2809963 is 3699082.

2809963 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 2809963 - 2⁵ = 2809931 is a prime.

It is a super-3 number, since 3×2809963³ = 66561493633321858041, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2809903) 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 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 2836.

It is an arithmetic number, because the mean of its divisors is an integer number (380800).

2^2809963 is an apocalyptic number.

2809963 is a deficient number, since it is larger than the sum of its proper divisors (236437).

2809963 is an equidigital number, since it uses as much as digits as its factorization.

2809963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 2809963 is about 1676.2944252129. The cubic root of 2809963 is about 141.1129487479.

The spelling of 2809963 in words is "two million, eight hundred nine thousand, nine hundred sixty-three".