90289 has 2 divisors, whose sum is σ = 90290. Its totient is φ = 90288.

The previous prime is 90281. The next prime is 90313. The reversal of 90289 is 98209.

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., 90000 + 289 = 300^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 90289 - 2³ = 90281 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (90281) 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 as a sum of consecutive naturals, namely, 45144 + 45145.

It is an arithmetic number, because the mean of its divisors is an integer number (45145).

2⁹⁰²⁸⁹ is an apocalyptic number.

It is an amenable number.

90289 is a deficient number, since it is larger than the sum of its proper divisors (1).

90289 is an equidigital number, since it uses as much as digits as its factorization.

90289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 90289 is about 300.4812806149. The cubic root of 90289 is about 44.8619638424.

The spelling of 90289 in words is "ninety thousand, two hundred eighty-nine".