89209 has 2 divisors, whose sum is σ = 89210. Its totient is φ = 89208.

The previous prime is 89203. The next prime is 89213. The reversal of 89209 is 90298.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67600 + 21609 = 260^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 89209 - 2¹³ = 81017 is a prime.

89209 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (89203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44604 + 44605.

It is an arithmetic number, because the mean of its divisors is an integer number (44605).

2⁸⁹²⁰⁹ is an apocalyptic number.

It is an amenable number.

89209 is a deficient number, since it is larger than the sum of its proper divisors (1).

89209 is an equidigital number, since it uses as much as digits as its factorization.

89209 is an evil number, because the sum of its binary digits is even.

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

The square root of 89209 is about 298.6787571958. The cubic root of 89209 is about 44.6823723883.

Subtracting 89209 from its reverse (90298), we obtain a square (1089 = 33²).

The spelling of 89209 in words is "eighty-nine thousand, two hundred nine".