67589 has 2 divisors, whose sum is σ = 67590. Its totient is φ = 67588.

The previous prime is 67579. The next prime is 67601. The reversal of 67589 is 98576.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 9025 = 242^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 67589 - 2¹² = 63493 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33794 + 33795.

It is an arithmetic number, because the mean of its divisors is an integer number (33795).

2⁶⁷⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

67589 is a deficient number, since it is larger than the sum of its proper divisors (1).

67589 is an equidigital number, since it uses as much as digits as its factorization.

67589 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15120, while the sum is 35.

The square root of 67589 is about 259.9788452932. The cubic root of 67589 is about 40.7341514392.

It can be divided in two parts, 67 and 589, that added together give a palindrome (656).

The spelling of 67589 in words is "sixty-seven thousand, five hundred eighty-nine".