57987 has 12 divisors (see below), whose sum is σ = 88920. Its totient is φ = 36288.

The previous prime is 57977. The next prime is 57991. The reversal of 57987 is 78975.

57987 is a `hidden beast` number, since 579 + 87 = 666.

It is not a de Polignac number, because 57987 - 2⁶ = 57923 is a prime.

It is a plaindrome in base 15.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57987.

It is not an unprimeable number, because it can be changed into a prime (57917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (7410).

2⁵⁷⁹⁸⁷ is an apocalyptic number.

57987 is a deficient number, since it is larger than the sum of its proper divisors (30933).

57987 is a wasteful number, since it uses less digits than its factorization.

57987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 399 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 57987 is about 240.8049002824. The cubic root of 57987 is about 38.7058741559.

It can be divided in two parts, 579 and 87, that added together give a palindrome (666).

The spelling of 57987 in words is "fifty-seven thousand, nine hundred eighty-seven".