57713 has 2 divisors, whose sum is σ = 57714. Its totient is φ = 57712.
The previous prime is 57709. The next prime is 57719. The reversal of 57713 is 31775.
It is a happy number.
57713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 44944 + 12769 = 212^2 + 113^2 .
It is a cyclic number.
It is not a de Polignac number, because 57713 - 22 = 57709 is a prime.
It is equal to p5846 and since 57713 and 5846 have the same sum of digits, it is a Honaker prime.
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, 28856 + 28857.
It is an arithmetic number, because the mean of its divisors is an integer number (28857).
257713 is an apocalyptic number.
It is an amenable number.
57713 is a deficient number, since it is larger than the sum of its proper divisors (1).
57713 is an equidigital number, since it uses as much as digits as its factorization.
57713 is an evil number, because the sum of its binary digits is even.
The product of its digits is 735, while the sum is 23.
The square root of 57713 is about 240.2353013194. The cubic root of 57713 is about 38.6448135864.
The spelling of 57713 in words is "fifty-seven thousand, seven hundred thirteen".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •