4977569 has 2 divisors, whose sum is σ = 4977570. Its totient is φ = 4977568.

The previous prime is 4977559. The next prime is 4977571. The reversal of 4977569 is 9657794.

4977569 is digitally balanced in base 3, 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., 2845969 + 2131600 = 1687^2 + 1460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4977569 is a prime.

It is a super-2 number, since 2×4977569² = 49552386299522, which contains 22 as substring.

Together with 4977571, 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 (4977529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2488784 + 2488785.

It is an arithmetic number, because the mean of its divisors is an integer number (2488785).

Almost surely, 2^4977569 is an apocalyptic number.

It is an amenable number.

4977569 is a deficient number, since it is larger than the sum of its proper divisors (1).

4977569 is an equidigital number, since it uses as much as digits as its factorization.

4977569 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 476280, while the sum is 47.

The square root of 4977569 is about 2231.0466153803. The cubic root of 4977569 is about 170.7415015203.

The spelling of 4977569 in words is "four million, nine hundred seventy-seven thousand, five hundred sixty-nine".