57362761 has 2 divisors, whose sum is σ = 57362762. Its totient is φ = 57362760.

The previous prime is 57362737. The next prime is 57362779. The reversal of 57362761 is 16726375.

57362761 = 5355² + 5356².

57362761 is nontrivially palindromic in base 9.

57362761 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., 28686736 + 28676025 = 5356^2 + 5355^2 .

It is a cyclic number.

It is not a de Polignac number, because 57362761 - 2⁷ = 57362633 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57362761.

It is not a weakly prime, because it can be changed into another prime (57392761) 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, 28681380 + 28681381.

It is an arithmetic number, because the mean of its divisors is an integer number (28681381).

Almost surely, 2^57362761 is an apocalyptic number.

57362761 is the 5356-th centered square number.

It is an amenable number.

57362761 is a deficient number, since it is larger than the sum of its proper divisors (1).

57362761 is an equidigital number, since it uses as much as digits as its factorization.

57362761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 37.

The square root of 57362761 is about 7573.8207662975. The cubic root of 57362761 is about 385.6648118856.

The spelling of 57362761 in words is "fifty-seven million, three hundred sixty-two thousand, seven hundred sixty-one".