67189 has 2 divisors, whose sum is σ = 67190. Its totient is φ = 67188.

The previous prime is 67187. The next prime is 67211. The reversal of 67189 is 98176.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66564 + 625 = 258^2 + 25^2 .

It is a cyclic number.

It is not a de Polignac number, because 67189 - 2¹ = 67187 is a prime.

Together with 67187, it forms a pair of twin primes.

It is a Chen prime.

67189 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 67189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33594 + 33595.

It is an arithmetic number, because the mean of its divisors is an integer number (33595).

2⁶⁷¹⁸⁹ is an apocalyptic number.

It is an amenable number.

67189 is a deficient number, since it is larger than the sum of its proper divisors (1).

67189 is an equidigital number, since it uses as much as digits as its factorization.

67189 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 31.

The square root of 67189 is about 259.2084103574. The cubic root of 67189 is about 40.6536358262.

It can be divided in two parts, 67 and 189, that added together give a 8-th power (256 = 2⁸).

The spelling of 67189 in words is "sixty-seven thousand, one hundred eighty-nine".