57709 has 2 divisors, whose sum is σ = 57710. Its totient is φ = 57708.

The previous prime is 57697. The next prime is 57713. The reversal of 57709 is 90775.

57709 is nontrivially palindromic in base 11.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 21609 = 190^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 57709 - 2¹¹ = 55661 is a prime.

It is a Chen prime.

57709 is an undulating number in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28854 + 28855.

It is an arithmetic number, because the mean of its divisors is an integer number (28855).

2⁵⁷⁷⁰⁹ is an apocalyptic number.

It is an amenable number.

57709 is a deficient number, since it is larger than the sum of its proper divisors (1).

57709 is an equidigital number, since it uses as much as digits as its factorization.

57709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 28.

The square root of 57709 is about 240.2269760039. The cubic root of 57709 is about 38.6439207615.

The spelling of 57709 in words is "fifty-seven thousand, seven hundred nine".