7981617 has 16 divisors (see below), whose sum is σ = 12446720. Its totient is φ = 4454352.

The previous prime is 7981591. The next prime is 7981627. The reversal of 7981617 is 7161897.

7981617 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7981617 - 2⁶ = 7981553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7981627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3517 + ... + 5322.

It is an arithmetic number, because the mean of its divisors is an integer number (777920).

Almost surely, 2^7981617 is an apocalyptic number.

It is an amenable number.

7981617 is a deficient number, since it is larger than the sum of its proper divisors (4465103).

7981617 is a wasteful number, since it uses less digits than its factorization.

7981617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892.

The product of its digits is 21168, while the sum is 39.

The square root of 7981617 is about 2825.1755697655. The cubic root of 7981617 is about 199.8466908449.

It can be divided in two parts, 798 and 1617, that added together give a triangular number (2415 = T₆₉).

The spelling of 7981617 in words is "seven million, nine hundred eighty-one thousand, six hundred seventeen".