2782097 has 2 divisors, whose sum is σ = 2782098. Its totient is φ = 2782096.

The previous prime is 2782081. The next prime is 2782099. The reversal of 2782097 is 7902872.

2782097 = 30⁴ + 31⁴ + 32⁴.

2782097 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., 2383936 + 398161 = 1544^2 + 631^2 .

It is a cyclic number.

It is not a de Polignac number, because 2782097 - 2⁴ = 2782081 is a prime.

Together with 2782099, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2782099) 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, 1391048 + 1391049.

It is an arithmetic number, because the mean of its divisors is an integer number (1391049).

2^2782097 is an apocalyptic number.

It is an amenable number.

2782097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2782097 is an equidigital number, since it uses as much as digits as its factorization.

2782097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 2782097 is about 1667.9619300212. The cubic root of 2782097 is about 140.6449326149.

The spelling of 2782097 in words is "two million, seven hundred eighty-two thousand, ninety-seven".