201985 has 16 divisors (see below), whose sum is σ = 288000. Its totient is φ = 133056.

The previous prime is 201979. The next prime is 201997. The reversal of 201985 is 589102.

It is not a de Polignac number, because 201985 - 2⁵ = 201953 is a prime.

201985 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916 + ... + 1114.

It is an arithmetic number, because the mean of its divisors is an integer number (18000).

2²⁰¹⁹⁸⁵ is an apocalyptic number.

It is an amenable number.

201985 is a deficient number, since it is larger than the sum of its proper divisors (86015).

201985 is a wasteful number, since it uses less digits than its factorization.

201985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 201985 is about 449.4274134941. The cubic root of 201985 is about 58.6731907058.

The spelling of 201985 in words is "two hundred one thousand, nine hundred eighty-five".