90205 has 4 divisors (see below), whose sum is σ = 108252. Its totient is φ = 72160.

The previous prime is 90203. The next prime is 90217. The reversal of 90205 is 50209.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 15129 + 75076 = 123^2 + 274^2 .

It is not a de Polignac number, because 90205 - 2¹ = 90203 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 (90203) 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, 9016 + ... + 9025.

It is an arithmetic number, because the mean of its divisors is an integer number (27063).

2⁹⁰²⁰⁵ is an apocalyptic number.

It is an amenable number.

90205 is a deficient number, since it is larger than the sum of its proper divisors (18047).

90205 is a wasteful number, since it uses less digits than its factorization.

90205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18046.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 90205 is about 300.3414723277. The cubic root of 90205 is about 44.8480471445.

It can be divided in two parts, 9020 and 5, that added together give a square (9025 = 95²).

The spelling of 90205 in words is "ninety thousand, two hundred five".