57957761 has 2 divisors, whose sum is σ = 57957762. Its totient is φ = 57957760.

The previous prime is 57957737. The next prime is 57957763. The reversal of 57957761 is 16775975.

57957761 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., 43970161 + 13987600 = 6631^2 + 3740^2 .

It is a cyclic number.

It is not a de Polignac number, because 57957761 - 2¹⁰ = 57956737 is a prime.

Together with 57957763, 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 (57957763) 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, 28978880 + 28978881.

It is an arithmetic number, because the mean of its divisors is an integer number (28978881).

Almost surely, 2^57957761 is an apocalyptic number.

It is an amenable number.

57957761 is a deficient number, since it is larger than the sum of its proper divisors (1).

57957761 is an equidigital number, since it uses as much as digits as its factorization.

57957761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 463050, while the sum is 47.

The square root of 57957761 is about 7612.9994745829. Note that the first 3 decimals coincide. The cubic root of 57957761 is about 386.9936746001.

The spelling of 57957761 in words is "fifty-seven million, nine hundred fifty-seven thousand, seven hundred sixty-one".