3985982517 has 32 divisors (see below), whose sum is σ = 6004368000. Its totient is φ = 2329859840.

The previous prime is 3985982467. The next prime is 3985982519. The reversal of 3985982517 is 7152895893.

3985982517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3985982517 - 2¹⁶ = 3985916981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985982519) 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, 1174459 + ... + 1177847.

It is an arithmetic number, because the mean of its divisors is an integer number (187636500).

Almost surely, 2^3985982517 is an apocalyptic number.

It is an amenable number.

3985982517 is a deficient number, since it is larger than the sum of its proper divisors (2018385483).

3985982517 is a wasteful number, since it uses less digits than its factorization.

3985982517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4661.

The product of its digits is 5443200, while the sum is 57.

The square root of 3985982517 is about 63134.6380127423. The cubic root of 3985982517 is about 1585.5446011074.

The spelling of 3985982517 in words is "three billion, nine hundred eighty-five million, nine hundred eighty-two thousand, five hundred seventeen".