66587 has 2 divisors, whose sum is σ = 66588. Its totient is φ = 66586.

The previous prime is 66571. The next prime is 66593. The reversal of 66587 is 78566.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 66587 - 2⁴ = 66571 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66587.

It is not a weakly prime, because it can be changed into another prime (63587) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33293 + 33294.

It is an arithmetic number, because the mean of its divisors is an integer number (33294).

2⁶⁶⁵⁸⁷ is an apocalyptic number.

66587 is a deficient number, since it is larger than the sum of its proper divisors (1).

66587 is an equidigital number, since it uses as much as digits as its factorization.

66587 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10080, while the sum is 32.

The square root of 66587 is about 258.0445697937. The cubic root of 66587 is about 40.5318552405.

Adding to 66587 its product of digits (10080), we get a palindrome (76667).

The spelling of 66587 in words is "sixty-six thousand, five hundred eighty-seven".