67873 has 8 divisors (see below), whose sum is σ = 76608. Its totient is φ = 59664.

The previous prime is 67867. The next prime is 67883. The reversal of 67873 is 37876.

67873 is nontrivially palindromic in base 2.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67873 is a prime.

It is a Duffinian number.

67873 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (67843) 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 7 ways as a sum of consecutive naturals, for example, 186 + ... + 412.

It is an arithmetic number, because the mean of its divisors is an integer number (9576).

2⁶⁷⁸⁷³ is an apocalyptic number.

It is an amenable number.

67873 is a deficient number, since it is larger than the sum of its proper divisors (8735).

67873 is a wasteful number, since it uses less digits than its factorization.

67873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its digits is 7056, while the sum is 31.

The square root of 67873 is about 260.5244710195. The cubic root of 67873 is about 40.7911248798.

It can be divided in two parts, 678 and 73, that multiplied together give a palindrome (49494).

The spelling of 67873 in words is "sixty-seven thousand, eight hundred seventy-three".