2814561 has 8 divisors (see below), whose sum is σ = 4169760. Its totient is φ = 1876356.

The previous prime is 2814557. The next prime is 2814563. The reversal of 2814561 is 1654182.

2814561 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 2814561 - 2² = 2814557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 104243 = 2814561 / (2 + 8 + 1 + 4 + 5 + 6 + 1).

It is not an unprimeable number, because it can be changed into a prime (2814563) 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, 52095 + ... + 52148.

It is an arithmetic number, because the mean of its divisors is an integer number (521220).

2^2814561 is an apocalyptic number.

It is an amenable number.

2814561 is a deficient number, since it is larger than the sum of its proper divisors (1355199).

2814561 is a wasteful number, since it uses less digits than its factorization.

2814561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104252 (or 104246 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2814561 is about 1677.6653420751. The cubic root of 2814561 is about 141.1898754735.

It can be divided in two parts, 2814 and 561, that added together give a cube (3375 = 15³).

The spelling of 2814561 in words is "two million, eight hundred fourteen thousand, five hundred sixty-one".