90389 has 8 divisors (see below), whose sum is σ = 103320. Its totient is φ = 78336.

The previous prime is 90379. The next prime is 90397. The reversal of 90389 is 98309.

It can be written as a sum of positive squares in 4 ways, for example, as 27889 + 62500 = 167^2 + 250^2 .

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

It is not a de Polignac number, because 90389 - 2⁴ = 90373 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (12915).

2⁹⁰³⁸⁹ is an apocalyptic number.

It is an amenable number.

90389 is a deficient number, since it is larger than the sum of its proper divisors (12931).

90389 is a wasteful number, since it uses less digits than its factorization.

90389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 90389 is about 300.6476342831. The cubic root of 90389 is about 44.8785200902.

The spelling of 90389 in words is "ninety thousand, three hundred eighty-nine".