66873 has 4 divisors (see below), whose sum is σ = 89168. Its totient is φ = 44580.

The previous prime is 66863. The next prime is 66877. The reversal of 66873 is 37866.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 66873 - 2⁵ = 66841 is a prime.

It is a D-number.

It is a Duffinian number.

66873 is a lucky number.

It is a plaindrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 66873.

It is not an unprimeable number, because it can be changed into a prime (66877) 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, 11143 + ... + 11148.

It is an arithmetic number, because the mean of its divisors is an integer number (22292).

2⁶⁶⁸⁷³ is an apocalyptic number.

It is an amenable number.

66873 is a deficient number, since it is larger than the sum of its proper divisors (22295).

66873 is a wasteful number, since it uses less digits than its factorization.

66873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22294.

The product of its digits is 6048, while the sum is 30.

The square root of 66873 is about 258.5981438448. The cubic root of 66873 is about 40.5898022549.

It can be divided in two parts, 668 and 73, that added together give a triangular number (741 = T₃₈).

The spelling of 66873 in words is "sixty-six thousand, eight hundred seventy-three".