89359209 has 27 divisors (see below), whose sum is σ = 135922423. Its totient is φ = 56566752.

The previous prime is 89359201. The next prime is 89359271. The reversal of 89359209 is 90295398.

89359209 = 1³ + 2³ + ... + 137³.

The square root of 89359209 is 9453.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52490025 + 36869184 = 7245^2 + 6072^2 .

It is not a de Polignac number, because 89359209 - 2³ = 89359201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89359201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 652189 + ... + 652325.

Almost surely, 2^89359209 is an apocalyptic number.

89359209 is the 9453-rd square number.

89359209 is the 4727-th centered octagonal number.

It is an amenable number.

89359209 is a deficient number, since it is larger than the sum of its proper divisors (46563214).

89359209 is a wasteful number, since it uses less digits than its factorization.

89359209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The cubic root of 89359209 is about 447.0743686603.

The spelling of 89359209 in words is "eighty-nine million, three hundred fifty-nine thousand, two hundred nine".