57587 has 2 divisors, whose sum is σ = 57588. Its totient is φ = 57586.

The previous prime is 57571. The next prime is 57593. The reversal of 57587 is 78575.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 57587 - 2⁴ = 57571 is a prime.

It is a plaindrome in base 6.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57587.

It is not a weakly prime, because it can be changed into another prime (57527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28793 + 28794.

It is an arithmetic number, because the mean of its divisors is an integer number (28794).

2⁵⁷⁵⁸⁷ is an apocalyptic number.

57587 is a deficient number, since it is larger than the sum of its proper divisors (1).

57587 is an equidigital number, since it uses as much as digits as its factorization.

57587 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9800, while the sum is 32.

The square root of 57587 is about 239.9729151384. The cubic root of 57587 is about 38.6166697577.

The spelling of 57587 in words is "fifty-seven thousand, five hundred eighty-seven".