66787 has 12 divisors (see below), whose sum is σ = 82080. Its totient is φ = 54096.

The previous prime is 66763. The next prime is 66791. The reversal of 66787 is 78766.

It is not a de Polignac number, because 66787 - 2¹⁵ = 34019 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66797) 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, 1398 + ... + 1444.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁶⁶⁷⁸⁷ is an apocalyptic number.

66787 is a deficient number, since it is larger than the sum of its proper divisors (15293).

66787 is a wasteful number, since it uses less digits than its factorization.

66787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 66787 is about 258.4318091876. The cubic root of 66787 is about 40.5723950280.

The spelling of 66787 in words is "sixty-six thousand, seven hundred eighty-seven".