2984727257 has 2 divisors, whose sum is σ = 2984727258. Its totient is φ = 2984727256.

The previous prime is 2984727217. The next prime is 2984727259. The reversal of 2984727257 is 7527274892.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2982907456 + 1819801 = 54616^2 + 1349^2 .

It is a cyclic number.

It is not a de Polignac number, because 2984727257 - 2¹⁴ = 2984710873 is a prime.

Together with 2984727259, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2984727199 and 2984727208.

It is not a weakly prime, because it can be changed into another prime (2984727259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1492363628 + 1492363629.

It is an arithmetic number, because the mean of its divisors is an integer number (1492363629).

Almost surely, 2^2984727257 is an apocalyptic number.

It is an amenable number.

2984727257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2984727257 is an equidigital number, since it uses as much as digits as its factorization.

2984727257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3951360, while the sum is 53.

The square root of 2984727257 is about 54632.6574220951. The cubic root of 2984727257 is about 1439.7979489207.

The spelling of 2984727257 in words is "two billion, nine hundred eighty-four million, seven hundred twenty-seven thousand, two hundred fifty-seven".