2772017 has 2 divisors, whose sum is σ = 2772018. Its totient is φ = 2772016.

The previous prime is 2771999. The next prime is 2772019. The reversal of 2772017 is 7102772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1739761 + 1032256 = 1319^2 + 1016^2 .

It is a cyclic number.

It is not a de Polignac number, because 2772017 - 2¹⁰ = 2770993 is a prime.

Together with 2772019, 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 (2772019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1386008 + 1386009.

It is an arithmetic number, because the mean of its divisors is an integer number (1386009).

2^2772017 is an apocalyptic number.

It is an amenable number.

2772017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2772017 is an equidigital number, since it uses as much as digits as its factorization.

2772017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 2772017 is about 1664.9375363659. The cubic root of 2772017 is about 140.4748670655.

Adding to 2772017 its reverse (7102772), we get a palindrome (9874789).

The spelling of 2772017 in words is "two million, seven hundred seventy-two thousand, seventeen".