90355 has 8 divisors (see below), whose sum is σ = 114912. Its totient is φ = 67968.

The previous prime is 90353. The next prime is 90359. The reversal of 90355 is 55309.

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 90355 - 2¹ = 90353 is a prime.

It is a Duffinian number.

90355 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (90353) 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, 447 + ... + 616.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2⁹⁰³⁵⁵ is an apocalyptic number.

90355 is a deficient number, since it is larger than the sum of its proper divisors (24557).

90355 is a wasteful number, since it uses less digits than its factorization.

90355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 90355 is about 300.5910843655. The cubic root of 90355 is about 44.8728923367.

The spelling of 90355 in words is "ninety thousand, three hundred fifty-five".