67009 has 4 divisors (see below), whose sum is σ = 67716. Its totient is φ = 66304.

The previous prime is 67003. The next prime is 67021. The reversal of 67009 is 90076.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 50625 = 128^2 + 225^2 .

It is a cyclic number.

It is not a de Polignac number, because 67009 - 2⁵ = 66977 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184 + ... + 409.

It is an arithmetic number, because the mean of its divisors is an integer number (16929).

2⁶⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

67009 is a deficient number, since it is larger than the sum of its proper divisors (707).

67009 is a wasteful number, since it uses less digits than its factorization.

67009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 67009 is about 258.8609665438. The cubic root of 67009 is about 40.6172995267.

The spelling of 67009 in words is "sixty-seven thousand, nine".