1983312 has 40 divisors (see below), whose sum is σ = 5694080. Its totient is φ = 660960.

The previous prime is 1983301. The next prime is 1983323. The reversal of 1983312 is 2133891.

It is an interprime number because it is at equal distance from previous prime (1983301) and next prime (1983323).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1864 + ... + 2727.

It is an arithmetic number, because the mean of its divisors is an integer number (142352).

2^1983312 is an apocalyptic number.

1983312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1983312 is an abundant number, since it is smaller than the sum of its proper divisors (3710768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1983312 is a wasteful number, since it uses less digits than its factorization.

1983312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4596 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 1983312 is about 1408.3011041677. The cubic root of 1983312 is about 125.6406997532.

The spelling of 1983312 in words is "one million, nine hundred eighty-three thousand, three hundred twelve".