89093 has 6 divisors (see below), whose sum is σ = 93042. Its totient is φ = 85280.

The previous prime is 89087. The next prime is 89101. The reversal of 89093 is 39098.

It can be written as a sum of positive squares in 3 ways, for example, as 289 + 88804 = 17^2 + 298^2 .

It is not a de Polignac number, because 89093 - 2¹⁰ = 88069 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

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 89093.

It is not an unprimeable number, because it can be changed into a prime (89003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1655 + ... + 1707.

It is an arithmetic number, because the mean of its divisors is an integer number (15507).

2⁸⁹⁰⁹³ is an apocalyptic number.

It is an amenable number.

89093 is a deficient number, since it is larger than the sum of its proper divisors (3949).

89093 is an equidigital number, since it uses as much as digits as its factorization.

89093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 94 counting only the distinct ones).

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

The square root of 89093 is about 298.4845054605. The cubic root of 89093 is about 44.6629969015.

The spelling of 89093 in words is "eighty-nine thousand, ninety-three".