66987 has 10 divisors (see below), whose sum is σ = 100188. Its totient is φ = 44604.

The previous prime is 66977. The next prime is 67003. The reversal of 66987 is 78966.

66987 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 66987 - 2⁶ = 66923 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66987.

It is not an unprimeable number, because it can be changed into a prime (66947) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 333 + ... + 494.

2⁶⁶⁹⁸⁷ is an apocalyptic number.

66987 is a deficient number, since it is larger than the sum of its proper divisors (33201).

66987 is an equidigital number, since it uses as much as digits as its factorization.

66987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 830 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 66987 is about 258.8184692019. The cubic root of 66987 is about 40.6128539626.

The spelling of 66987 in words is "sixty-six thousand, nine hundred eighty-seven".