73589 has 2 divisors, whose sum is σ = 73590. Its totient is φ = 73588.

The previous prime is 73583. The next prime is 73597. The reversal of 73589 is 98537.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70225 + 3364 = 265^2 + 58^2 .

It is a cyclic number.

It is not a de Polignac number, because 73589 - 2¹² = 69493 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36794 + 36795.

It is an arithmetic number, because the mean of its divisors is an integer number (36795).

2⁷³⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

73589 is a deficient number, since it is larger than the sum of its proper divisors (1).

73589 is an equidigital number, since it uses as much as digits as its factorization.

73589 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 73589 is about 271.2729252985. The cubic root of 73589 is about 41.9054942357.

The spelling of 73589 in words is "seventy-three thousand, five hundred eighty-nine".