202085 has 8 divisors (see below), whose sum is σ = 261240. Its totient is φ = 149184.

The previous prime is 202067. The next prime is 202087. The reversal of 202085 is 580202.

It is a happy number.

202085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 484 + 201601 = 22^2 + 449^2 .

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 202085 - 2⁶ = 202021 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 202085.

It is not an unprimeable number, because it can be changed into a prime (202087) 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, 1490 + ... + 1619.

It is an arithmetic number, because the mean of its divisors is an integer number (32655).

2²⁰²⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

202085 is a deficient number, since it is larger than the sum of its proper divisors (59155).

202085 is a wasteful number, since it uses less digits than its factorization.

202085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127.

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 202085 is about 449.5386523982. The cubic root of 202085 is about 58.6828718720.

Adding to 202085 its reverse (580202), we get a palindrome (782287).

The spelling of 202085 in words is "two hundred two thousand, eighty-five".