57126961 has 2 divisors, whose sum is σ = 57126962. Its totient is φ = 57126960.

The previous prime is 57126931. The next prime is 57126983. The reversal of 57126961 is 16962175.

57126961 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., 37271025 + 19855936 = 6105^2 + 4456^2 .

It is a cyclic number.

It is not a de Polignac number, because 57126961 - 2⁵ = 57126929 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57126961.

It is not a weakly prime, because it can be changed into another prime (57126911) 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, 28563480 + 28563481.

It is an arithmetic number, because the mean of its divisors is an integer number (28563481).

Almost surely, 2^57126961 is an apocalyptic number.

It is an amenable number.

57126961 is a deficient number, since it is larger than the sum of its proper divisors (1).

57126961 is an equidigital number, since it uses as much as digits as its factorization.

57126961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22680, while the sum is 37.

The square root of 57126961 is about 7558.2379560318. The cubic root of 57126961 is about 385.1356378215.

The spelling of 57126961 in words is "fifty-seven million, one hundred twenty-six thousand, nine hundred sixty-one".