73609 has 2 divisors, whose sum is σ = 73610. Its totient is φ = 73608.

The previous prime is 73607. The next prime is 73613. The reversal of 73609 is 90637.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41209 + 32400 = 203^2 + 180^2 .

It is a cyclic number.

It is not a de Polignac number, because 73609 - 2¹ = 73607 is a prime.

Together with 73607, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (73607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36804 + 36805.

It is an arithmetic number, because the mean of its divisors is an integer number (36805).

2⁷³⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

73609 is a deficient number, since it is larger than the sum of its proper divisors (1).

73609 is an equidigital number, since it uses as much as digits as its factorization.

73609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 73609 is about 271.3097860380. The cubic root of 73609 is about 41.9092902467.

The spelling of 73609 in words is "seventy-three thousand, six hundred nine".