4957721 has 2 divisors, whose sum is σ = 4957722. Its totient is φ = 4957720.

The previous prime is 4957709. The next prime is 4957723. The reversal of 4957721 is 1277594.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3667225 + 1290496 = 1915^2 + 1136^2 .

It is a cyclic number.

It is not a de Polignac number, because 4957721 - 2¹⁴ = 4941337 is a prime.

Together with 4957723, 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 (4957723) 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, 2478860 + 2478861.

It is an arithmetic number, because the mean of its divisors is an integer number (2478861).

Almost surely, 2^4957721 is an apocalyptic number.

It is an amenable number.

4957721 is a deficient number, since it is larger than the sum of its proper divisors (1).

4957721 is an equidigital number, since it uses as much as digits as its factorization.

4957721 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 35.

The square root of 4957721 is about 2226.5940357416. The cubic root of 4957721 is about 170.5142559380.

The spelling of 4957721 in words is "four million, nine hundred fifty-seven thousand, seven hundred twenty-one".