67893 has 16 divisors (see below), whose sum is σ = 107136. Its totient is φ = 37440.

The previous prime is 67891. The next prime is 67901. The reversal of 67893 is 39876.

It is a happy number.

It is not a de Polignac number, because 67893 - 2¹ = 67891 is a prime.

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67891) 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 15 ways as a sum of consecutive naturals, for example, 1083 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2⁶⁷⁸⁹³ is an apocalyptic number.

It is an amenable number.

67893 is a deficient number, since it is larger than the sum of its proper divisors (39243).

67893 is a wasteful number, since it uses less digits than its factorization.

67893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its digits is 9072, while the sum is 33.

The square root of 67893 is about 260.5628523025. The cubic root of 67893 is about 40.7951310991.

The spelling of 67893 in words is "sixty-seven thousand, eight hundred ninety-three".