90589 has 4 divisors (see below), whose sum is σ = 91324. Its totient is φ = 89856.

The previous prime is 90583. The next prime is 90599. The reversal of 90589 is 98509.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 98509 = 23 ⋅4283.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 24025 = 258^2 + 155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-90589 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (22831).

2⁹⁰⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

90589 is a deficient number, since it is larger than the sum of its proper divisors (735).

90589 is a wasteful number, since it uses less digits than its factorization.

90589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734.

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 90589 is about 300.9800657851. The cubic root of 90589 is about 44.9115959884.

The spelling of 90589 in words is "ninety thousand, five hundred eighty-nine".