67089 has 16 divisors (see below), whose sum is σ = 103680. Its totient is φ = 38160.

The previous prime is 67079. The next prime is 67103. The reversal of 67089 is 98076.

It is a happy number.

It is not a de Polignac number, because 67089 - 2⁴ = 67073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67049) 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 15 ways as a sum of consecutive naturals, for example, 574 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁶⁷⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

67089 is a deficient number, since it is larger than the sum of its proper divisors (36591).

67089 is a wasteful number, since it uses less digits than its factorization.

67089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 67089 is about 259.0154435550. The cubic root of 67089 is about 40.6334570165.

The spelling of 67089 in words is "sixty-seven thousand, eighty-nine".