66567 has 4 divisors (see below), whose sum is σ = 88760. Its totient is φ = 44376.

The previous prime is 66553. The next prime is 66569. The reversal of 66567 is 76566.

It is a semiprime because it is the product of two primes.

It is not a de Polignac number, because 66567 - 2¹⁰ = 65543 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66567.

It is not an unprimeable number, because it can be changed into a prime (66569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11092 + ... + 11097.

It is an arithmetic number, because the mean of its divisors is an integer number (22190).

2⁶⁶⁵⁶⁷ is an apocalyptic number.

66567 is a deficient number, since it is larger than the sum of its proper divisors (22193).

66567 is a wasteful number, since it uses less digits than its factorization.

66567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22192.

The product of its digits is 7560, while the sum is 30.

The square root of 66567 is about 258.0058138880. The cubic root of 66567 is about 40.5277967993.

Subtracting 66567 from its reverse (76566), we obtain a palindrome (9999).

The spelling of 66567 in words is "sixty-six thousand, five hundred sixty-seven".