1982128617 has 32 divisors (see below), whose sum is σ = 3553401600. Its totient is φ = 1066017024.

The previous prime is 1982128597. The next prime is 1982128637. The reversal of 1982128617 is 7168212891.

1982128617 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 1 + 28 + 617 = 666.

It is an interprime number because it is at equal distance from previous prime (1982128597) and next prime (1982128637).

It is not a de Polignac number, because 1982128617 - 2⁶ = 1982128553 is a prime.

It is a super-3 number, since 3×1982128617³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1982128637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305242 + ... + 311667.

It is an arithmetic number, because the mean of its divisors is an integer number (111043800).

Almost surely, 2^1982128617 is an apocalyptic number.

1982128617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1982128617 is a deficient number, since it is larger than the sum of its proper divisors (1571272983).

1982128617 is a wasteful number, since it uses less digits than its factorization.

1982128617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616942 (or 616936 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The square root of 1982128617 is about 44521.1030523728. The cubic root of 1982128617 is about 1256.1570609792.

The spelling of 1982128617 in words is "one billion, nine hundred eighty-two million, one hundred twenty-eight thousand, six hundred seventeen".