73309 has 2 divisors, whose sum is σ = 73310. Its totient is φ = 73308.

The previous prime is 73303. The next prime is 73327. The reversal of 73309 is 90337.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49284 + 24025 = 222^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 73309 - 2⁵ = 73277 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36654 + 36655.

It is an arithmetic number, because the mean of its divisors is an integer number (36655).

2⁷³³⁰⁹ is an apocalyptic number.

It is an amenable number.

73309 is a deficient number, since it is larger than the sum of its proper divisors (1).

73309 is an equidigital number, since it uses as much as digits as its factorization.

73309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 73309 is about 270.7563480327. The cubic root of 73309 is about 41.8522777150.

The spelling of 73309 in words is "seventy-three thousand, three hundred nine".