2792617 has 2 divisors, whose sum is σ = 2792618. Its totient is φ = 2792616.

The previous prime is 2792561. The next prime is 2792659. The reversal of 2792617 is 7162972.

2792617 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., 2785561 + 7056 = 1669^2 + 84^2 .

It is a cyclic number.

It is not a de Polignac number, because 2792617 - 2¹¹ = 2790569 is a prime.

It is not a weakly prime, because it can be changed into another prime (2792687) 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, 1396308 + 1396309.

It is an arithmetic number, because the mean of its divisors is an integer number (1396309).

2^2792617 is an apocalyptic number.

It is an amenable number.

2792617 is a deficient number, since it is larger than the sum of its proper divisors (1).

2792617 is an equidigital number, since it uses as much as digits as its factorization.

2792617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10584, while the sum is 34.

The square root of 2792617 is about 1671.1125036933. The cubic root of 2792617 is about 140.8219841544.

The spelling of 2792617 in words is "two million, seven hundred ninety-two thousand, six hundred seventeen".