2742977 has 2 divisors, whose sum is σ = 2742978. Its totient is φ = 2742976.

The previous prime is 2742953. The next prime is 2742979. The reversal of 2742977 is 7792472.

2742977 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., 2563201 + 179776 = 1601^2 + 424^2 .

It is a cyclic number.

It is not a de Polignac number, because 2742977 - 2⁸ = 2742721 is a prime.

Together with 2742979, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2742977.

It is not a weakly prime, because it can be changed into another prime (2742979) 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, 1371488 + 1371489.

It is an arithmetic number, because the mean of its divisors is an integer number (1371489).

2^2742977 is an apocalyptic number.

It is an amenable number.

2742977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2742977 is an equidigital number, since it uses as much as digits as its factorization.

2742977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49392, while the sum is 38.

The square root of 2742977 is about 1656.1935273391. The cubic root of 2742977 is about 139.9825998783.

The spelling of 2742977 in words is "two million, seven hundred forty-two thousand, nine hundred seventy-seven".