1982138205 has 32 divisors (see below), whose sum is σ = 3362256000. Its totient is φ = 993687552.

The previous prime is 1982138143. The next prime is 1982138281. The reversal of 1982138205 is 5028312891.

It is not a de Polignac number, because 1982138205 - 2¹⁹ = 1981613917 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214521 + ... + 223569.

It is an arithmetic number, because the mean of its divisors is an integer number (105070500).

Almost surely, 2^1982138205 is an apocalyptic number.

1982138205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1982138205 is a deficient number, since it is larger than the sum of its proper divisors (1380117795).

1982138205 is a wasteful number, since it uses less digits than its factorization.

1982138205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1982138205 is about 44521.2107315154. The cubic root of 1982138205 is about 1256.1590864136.

The spelling of 1982138205 in words is "one billion, nine hundred eighty-two million, one hundred thirty-eight thousand, two hundred five".