1983564 has 36 divisors (see below), whose sum is σ = 5470920. Its totient is φ = 600960.

The previous prime is 1983563. The next prime is 1983587. The reversal of 1983564 is 4653891.

1983564 is a `hidden beast` number, since 1 + 98 + 3 + 564 = 666.

1983564 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1983564² = 7869052284192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1983563) 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, 2109 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (151970).

2^1983564 is an apocalyptic number.

It is an amenable number.

1983564 is an abundant number, since it is smaller than the sum of its proper divisors (3487356).

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

1983564 is a wasteful number, since it uses less digits than its factorization.

1983564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5025 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1983564 is about 1408.3905708290. The cubic root of 1983564 is about 125.6460208382.

The spelling of 1983564 in words is "one million, nine hundred eighty-three thousand, five hundred sixty-four".