1983105 has 24 divisors (see below), whose sum is σ = 3474432. Its totient is φ = 1046304.

The previous prime is 1983103. The next prime is 1983109. The reversal of 1983105 is 5013891.

It is not a de Polignac number, because 1983105 - 2¹ = 1983103 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1983103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5542 + ... + 5888.

It is an arithmetic number, because the mean of its divisors is an integer number (144768).

2^1983105 is an apocalyptic number.

1983105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1983105 is a deficient number, since it is larger than the sum of its proper divisors (1491327).

1983105 is a wasteful number, since it uses less digits than its factorization.

1983105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1983105 is about 1408.2276094439. The cubic root of 1983105 is about 125.6363285247.

Adding to 1983105 its reverse (5013891), we get a palindrome (6996996).

The spelling of 1983105 in words is "one million, nine hundred eighty-three thousand, one hundred five".