67609 has 8 divisors (see below), whose sum is σ = 74088. Its totient is φ = 61440.

The previous prime is 67607. The next prime is 67619. The reversal of 67609 is 90676.

67609 = 27² + 28² + ... + 60².

It can be written as a sum of positive squares in 4 ways, for example, as 3600 + 64009 = 60^2 + 253^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 67609 - 2¹ = 67607 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67601) 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 7 ways as a sum of consecutive naturals, for example, 649 + ... + 745.

It is an arithmetic number, because the mean of its divisors is an integer number (9261).

2⁶⁷⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

67609 is a deficient number, since it is larger than the sum of its proper divisors (6479).

67609 is a wasteful number, since it uses less digits than its factorization.

67609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 67609 is about 260.0173071163. The cubic root of 67609 is about 40.7381688714.

Subtracting from 67609 its product of nonzero digits (2268), we obtain a triangular number (65341 = T₃₆₁).

It can be divided in two parts, 67 and 609, that added together give a palindrome (676).

The spelling of 67609 in words is "sixty-seven thousand, six hundred nine".