2811963 has 48 divisors (see below), whose sum is σ = 4990464. Its totient is φ = 1391040.

The previous prime is 2811959. The next prime is 2811973. The reversal of 2811963 is 3691182.

2811963 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2811963 - 2² = 2811959 is a prime.

2811963 is strictly pandigital in base 8.

2811963 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2811963.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2811973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59806 + ... + 59852.

It is an arithmetic number, because the mean of its divisors is an integer number (103968).

2^2811963 is an apocalyptic number.

2811963 is a deficient number, since it is larger than the sum of its proper divisors (2178501).

2811963 is a wasteful number, since it uses less digits than its factorization.

2811963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 105 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 2811963 is about 1676.8908730147. The cubic root of 2811963 is about 141.1464200030.

It can be divided in two parts, 28119 and 63, that added together give a palindrome (28182).

The spelling of 2811963 in words is "two million, eight hundred eleven thousand, nine hundred sixty-three".