2005384 has 8 divisors (see below), whose sum is σ = 3760110. Its totient is φ = 1002688.

The previous prime is 2005373. The next prime is 2005387. The reversal of 2005384 is 4835002.

It can be written as a sum of positive squares in only one way, i.e., 1633284 + 372100 = 1278^2 + 610^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2005387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125329 + ... + 125344.

2^2005384 is an apocalyptic number.

It is an amenable number.

2005384 is a deficient number, since it is larger than the sum of its proper divisors (1754726).

2005384 is a wasteful number, since it uses less digits than its factorization.

2005384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250679 (or 250675 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2005384 is about 1416.1158144728. The cubic root of 2005384 is about 126.1050606067.

The spelling of 2005384 in words is "two million, five thousand, three hundred eighty-four".