90089 has 2 divisors, whose sum is σ = 90090. Its totient is φ = 90088.

The previous prime is 90073. The next prime is 90107. The reversal of 90089 is 98009.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80089 + 10000 = 283^2 + 100^2 .

It is an emirp because it is prime and its reverse (98009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 90089 - 2⁴ = 90073 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (90019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45044 + 45045.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2⁹⁰⁰⁸⁹ is an apocalyptic number.

It is an amenable number.

90089 is a deficient number, since it is larger than the sum of its proper divisors (1).

90089 is an equidigital number, since it uses as much as digits as its factorization.

90089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 90089 is about 300.1482966802. The cubic root of 90089 is about 44.8288146368.

It can be divided in two parts, 900 and 89, that added together give a palindrome (989).

The spelling of 90089 in words is "ninety thousand, eighty-nine".