4973977661 has 2 divisors, whose sum is σ = 4973977662. Its totient is φ = 4973977660.

The previous prime is 4973977651. The next prime is 4973977663. The reversal of 4973977661 is 1667793794.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2587655161 + 2386322500 = 50869^2 + 48850^2 .

It is a cyclic number.

It is not a de Polignac number, because 4973977661 - 2¹⁴ = 4973961277 is a prime.

It is a Sophie Germain prime.

Together with 4973977663, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4973977661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4973977663) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2486988830 + 2486988831.

It is an arithmetic number, because the mean of its divisors is an integer number (2486988831).

Almost surely, 2^4973977661 is an apocalyptic number.

It is an amenable number.

4973977661 is a deficient number, since it is larger than the sum of its proper divisors (1).

4973977661 is an equidigital number, since it uses as much as digits as its factorization.

4973977661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12002256, while the sum is 59.

The square root of 4973977661 is about 70526.4323569539. The cubic root of 4973977661 is about 1707.0042804673.

The spelling of 4973977661 in words is "four billion, nine hundred seventy-three million, nine hundred seventy-seven thousand, six hundred sixty-one".