2782001 has 2 divisors, whose sum is σ = 2782002. Its totient is φ = 2782000.

The previous prime is 2781991. The next prime is 2782009. The reversal of 2782001 is 1002872.

2782001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2640625 + 141376 = 1625^2 + 376^2 .

It is a cyclic number.

It is not a de Polignac number, because 2782001 - 2⁶ = 2781937 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2782009) 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 as a sum of consecutive naturals, namely, 1391000 + 1391001.

It is an arithmetic number, because the mean of its divisors is an integer number (1391001).

2^2782001 is an apocalyptic number.

It is an amenable number.

2782001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2782001 is an equidigital number, since it uses as much as digits as its factorization.

2782001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2782001 is about 1667.9331521377. The cubic root of 2782001 is about 140.6433148821.

Adding to 2782001 its reverse (1002872), we get a palindrome (3784873).

It can be divided in two parts, 27 and 82001, that added together give a palindrome (82028).

The spelling of 2782001 in words is "two million, seven hundred eighty-two thousand, one".