1983382013 has 18 divisors (see below), whose sum is σ = 2116563966. Its totient is φ = 1858261104.

The previous prime is 1983382001. The next prime is 1983382021. The reversal of 1983382013 is 3102833891.

It can be written as a sum of positive squares in only one way, i.e., 1973314084 + 10067929 = 44422^2 + 3173^2 .

It is not a de Polignac number, because 1983382013 - 2⁴ = 1983381997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983382033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10067831 + ... + 10068027.

It is an arithmetic number, because the mean of its divisors is an integer number (117586887).

Almost surely, 2^1983382013 is an apocalyptic number.

It is an amenable number.

1983382013 is a deficient number, since it is larger than the sum of its proper divisors (133181953).

1983382013 is an equidigital number, since it uses as much as digits as its factorization.

1983382013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1983382013 is about 44535.1772534925. The cubic root of 1983382013 is about 1256.4217815207.

The spelling of 1983382013 in words is "one billion, nine hundred eighty-three million, three hundred eighty-two thousand, thirteen".