90393 has 8 divisors (see below), whose sum is σ = 124800. Its totient is φ = 58128.

The previous prime is 90379. The next prime is 90397. The reversal of 90393 is 39309.

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

It is not a de Polignac number, because 90393 - 2¹² = 86297 is a prime.

90393 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90393.

It is not an unprimeable number, because it can be changed into a prime (90397) 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, 433 + ... + 606.

It is an arithmetic number, because the mean of its divisors is an integer number (15600).

2⁹⁰³⁹³ is an apocalyptic number.

It is an amenable number.

90393 is a deficient number, since it is larger than the sum of its proper divisors (34407).

90393 is a wasteful number, since it uses less digits than its factorization.

90393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071.

The product of its (nonzero) digits is 729, while the sum is 24.

The square root of 90393 is about 300.6542865153. The cubic root of 90393 is about 44.8791820861.

The spelling of 90393 in words is "ninety thousand, three hundred ninety-three".