2005985 has 8 divisors (see below), whose sum is σ = 2447016. Its totient is φ = 1578240.

The previous prime is 2005981. The next prime is 2006009. The reversal of 2005985 is 5895002.

It can be written as a sum of positive squares in 4 ways, for example, as 253009 + 1752976 = 503^2 + 1324^2 .

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

It is not a de Polignac number, because 2005985 - 2² = 2005981 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2984 + ... + 3593.

It is an arithmetic number, because the mean of its divisors is an integer number (305877).

2^2005985 is an apocalyptic number.

It is an amenable number.

2005985 is a deficient number, since it is larger than the sum of its proper divisors (441031).

2005985 is an equidigital number, since it uses as much as digits as its factorization.

2005985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 2005985 is about 1416.3279987348. The cubic root of 2005985 is about 126.1176569593.

The spelling of 2005985 in words is "two million, five thousand, nine hundred eighty-five".