7829685 has 12 divisors (see below), whose sum is σ = 13571532. Its totient is φ = 4175808.

The previous prime is 7829671. The next prime is 7829711. The reversal of 7829685 is 5869287.

7829685 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 3837681 = 1998^2 + 1959^2 .

It is not a de Polignac number, because 7829685 - 2⁷ = 7829557 is a prime.

It is a super-2 number, since 2×7829685² = 122607934398450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 173993 = 7829685 / (7 + 8 + 2 + 9 + 6 + 8 + 5).

It is a d-powerful number, because it can be written as 7⁷ + 8² + 2¹⁸ + 9⁷ + 6⁵ + 8² + 5⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 7829685.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86952 + ... + 87041.

It is an arithmetic number, because the mean of its divisors is an integer number (1130961).

Almost surely, 2^7829685 is an apocalyptic number.

It is an amenable number.

7829685 is a deficient number, since it is larger than the sum of its proper divisors (5741847).

7829685 is a wasteful number, since it uses less digits than its factorization.

7829685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174004 (or 174001 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 7829685 is about 2798.1574294525. The cubic root of 7829685 is about 198.5705155464.

The spelling of 7829685 in words is "seven million, eight hundred twenty-nine thousand, six hundred eighty-five".