93089 has 2 divisors, whose sum is σ = 93090. Its totient is φ = 93088.

The previous prime is 93083. The next prime is 93097. The reversal of 93089 is 98039.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93025 + 64 = 305^2 + 8^2 .

It is a cyclic number.

It is not a de Polignac number, because 93089 - 2¹² = 88993 is a prime.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 93089.

It is not a weakly prime, because it can be changed into another prime (93083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46544 + 46545.

It is an arithmetic number, because the mean of its divisors is an integer number (46545).

2⁹³⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

93089 is a deficient number, since it is larger than the sum of its proper divisors (1).

93089 is an equidigital number, since it uses as much as digits as its factorization.

93089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 93089 is about 305.1048999934. The cubic root of 93089 is about 45.3209969797.

Subtracting 93089 from its reverse (98039), we obtain a triangular number (4950 = T₉₉).

The spelling of 93089 in words is "ninety-three thousand, eighty-nine".