89609 has 8 divisors (see below), whose sum is σ = 98952. Its totient is φ = 80640.

The previous prime is 89603. The next prime is 89611. The reversal of 89609 is 90698.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15625 + 73984 = 125^2 + 272^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 89609 - 2¹² = 85513 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89603) 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, 737 + ... + 849.

It is an arithmetic number, because the mean of its divisors is an integer number (12369).

2⁸⁹⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

89609 is a deficient number, since it is larger than the sum of its proper divisors (9343).

89609 is a wasteful number, since it uses less digits than its factorization.

89609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187.

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 89609 is about 299.3476240093. The cubic root of 89609 is about 44.7490558772.

Subtracting 89609 from its reverse (90698), we obtain a square (1089 = 33²).

The spelling of 89609 in words is "eighty-nine thousand, six hundred nine".