67005 has 12 divisors (see below), whose sum is σ = 116220. Its totient is φ = 35712.

The previous prime is 67003. The next prime is 67021. The reversal of 67005 is 50076.

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 47961 = 138^2 + 219^2 .

It is not a de Polignac number, because 67005 - 2¹ = 67003 is a prime.

It is an Ulam number.

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 11 ways as a sum of consecutive naturals, for example, 700 + ... + 789.

It is an arithmetic number, because the mean of its divisors is an integer number (9685).

2⁶⁷⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

67005 is a deficient number, since it is larger than the sum of its proper divisors (49215).

67005 is a wasteful number, since it uses less digits than its factorization.

67005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 67005 is about 258.8532402733. The cubic root of 67005 is about 40.6164913147.

Subtracting from 67005 its product of nonzero digits (210), we obtain a triangular number (66795 = T₃₆₅).

The spelling of 67005 in words is "sixty-seven thousand, five".