66727 has 4 divisors (see below), whose sum is σ = 68040. Its totient is φ = 65416.

The previous prime is 66721. The next prime is 66733. The reversal of 66727 is 72766.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 72766 = 2 ⋅36383.

It is an interprime number because it is at equal distance from previous prime (66721) and next prime (66733).

It is a cyclic number.

It is not a de Polignac number, because 66727 - 2¹¹ = 64679 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 66695 and 66704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66721) 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 3 ways as a sum of consecutive naturals, for example, 577 + ... + 682.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2⁶⁶⁷²⁷ is an apocalyptic number.

66727 is a deficient number, since it is larger than the sum of its proper divisors (1313).

66727 is a wasteful number, since it uses less digits than its factorization.

66727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312.

The product of its digits is 3528, while the sum is 28.

The square root of 66727 is about 258.3156983228. The cubic root of 66727 is about 40.5602415997.

The spelling of 66727 in words is "sixty-six thousand, seven hundred twenty-seven".