2777213 has 2 divisors, whose sum is σ = 2777214. Its totient is φ = 2777212.

The previous prime is 2777161. The next prime is 2777219. The reversal of 2777213 is 3127772.

2777213 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., 1582564 + 1194649 = 1258^2 + 1093^2 .

It is a cyclic number.

It is not a de Polignac number, because 2777213 - 2⁶ = 2777149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2777219) 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, 1388606 + 1388607.

It is an arithmetic number, because the mean of its divisors is an integer number (1388607).

2^2777213 is an apocalyptic number.

It is an amenable number.

2777213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2777213 is an equidigital number, since it uses as much as digits as its factorization.

2777213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4116, while the sum is 29.

The square root of 2777213 is about 1666.4972247202. The cubic root of 2777213 is about 140.5625831973.

The spelling of 2777213 in words is "two million, seven hundred seventy-seven thousand, two hundred thirteen".