90209 has 8 divisors (see below), whose sum is σ = 105600. Its totient is φ = 77028.

The previous prime is 90203. The next prime is 90217.

90209 is nontrivially palindromic in base 10 and base 16.

It is not a de Polignac number, because 90209 - 2¹² = 86113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (90203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (13200).

2⁹⁰²⁰⁹ is an apocalyptic number.

It is an amenable number.

90209 is a deficient number, since it is larger than the sum of its proper divisors (15391).

90209 is an equidigital number, since it uses as much as digits as its factorization.

90209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 90209 is about 300.3481313409. The cubic root of 90209 is about 44.8487100403.

The spelling of 90209 in words is "ninety thousand, two hundred nine".