2814945 has 64 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 1133568.

The previous prime is 2814941. The next prime is 2814991. The reversal of 2814945 is 5494182.

It is not a de Polignac number, because 2814945 - 2² = 2814941 is a prime.

2814945 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2814941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33874 + ... + 33956.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2814945 is an apocalyptic number.

2814945 is the 969-th octagonal number.

It is an amenable number.

2814945 is an abundant number, since it is smaller than the sum of its proper divisors (2991135).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2814945 is a wasteful number, since it uses less digits than its factorization.

2814945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134.

The product of its digits is 11520, while the sum is 33.

The square root of 2814945 is about 1677.7797829274. The cubic root of 2814945 is about 141.1962961843.

The spelling of 2814945 in words is "two million, eight hundred fourteen thousand, nine hundred forty-five".