7842117 has 16 divisors (see below), whose sum is σ = 11655360. Its totient is φ = 4660992.

The previous prime is 7842097. The next prime is 7842119. The reversal of 7842117 is 7112487.

7842117 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7842117 - 2⁷ = 7841989 is a prime.

It is a super-3 number, since 3×7842117³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3078 + ... + 5015.

It is an arithmetic number, because the mean of its divisors is an integer number (728460).

Almost surely, 2^7842117 is an apocalyptic number.

It is an amenable number.

7842117 is a deficient number, since it is larger than the sum of its proper divisors (3813243).

7842117 is a wasteful number, since it uses less digits than its factorization.

7842117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132.

The product of its digits is 3136, while the sum is 30.

The square root of 7842117 is about 2800.3780101979. The cubic root of 7842117 is about 198.6755569469.

It can be divided in two parts, 78 and 42117, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 7842117 in words is "seven million, eight hundred forty-two thousand, one hundred seventeen".