90559 has 8 divisors (see below), whose sum is σ = 109728. Its totient is φ = 72960.

The previous prime is 90547. The next prime is 90583. The reversal of 90559 is 95509.

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 90559 - 2⁵ = 90527 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 (90529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (13716).

2⁹⁰⁵⁵⁹ is an apocalyptic number.

90559 is a deficient number, since it is larger than the sum of its proper divisors (19169).

90559 is a wasteful number, since it uses less digits than its factorization.

90559 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785.

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 90559 is about 300.9302244707. The cubic root of 90559 is about 44.9066377093.

Subtracting 90559 from its reverse (95509), we obtain a triangular number (4950 = T₉₉).

The spelling of 90559 in words is "ninety thousand, five hundred fifty-nine".