2005312 has 14 divisors (see below), whose sum is σ = 3979418. Its totient is φ = 1002624.

The previous prime is 2005277. The next prime is 2005319. The reversal of 2005312 is 2135002.

It can be written as a sum of positive squares in only one way, i.e., 2005056 + 256 = 1416^2 + 16^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2005292 and 2005301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15603 + ... + 15730.

2^2005312 is an apocalyptic number.

It is an amenable number.

2005312 is a deficient number, since it is larger than the sum of its proper divisors (1974106).

2005312 is an equidigital number, since it uses as much as digits as its factorization.

2005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31345 (or 31335 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 2005312 is about 1416.0903925950. The cubic root of 2005312 is about 126.1035513907.

The spelling of 2005312 in words is "two million, five thousand, three hundred twelve".