1984005 has 12 divisors (see below), whose sum is σ = 3439020. Its totient is φ = 1058112.

The previous prime is 1983997. The next prime is 1984007. The reversal of 1984005 is 5004891.

It can be written as a sum of positive squares in 2 ways, for example, as 804609 + 1179396 = 897^2 + 1086^2 .

It is not a de Polignac number, because 1984005 - 2³ = 1983997 is a prime.

It is a Curzon number.

1984005 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1984005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1984007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22000 + ... + 22089.

It is an arithmetic number, because the mean of its divisors is an integer number (286585).

2^1984005 is an apocalyptic number.

1984005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1984005 is a deficient number, since it is larger than the sum of its proper divisors (1455015).

1984005 is a wasteful number, since it uses less digits than its factorization.

1984005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44100 (or 44097 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1984005 is about 1408.5471238123. The cubic root of 1984005 is about 125.6553316527.

Adding to 1984005 its reverse (5004891), we get a palindrome (6988896).

The spelling of 1984005 in words is "one million, nine hundred eighty-four thousand, five".