6985829 has 2 divisors, whose sum is σ = 6985830. Its totient is φ = 6985828.

The previous prime is 6985799. The next prime is 6985831. The reversal of 6985829 is 9285896.

6985829 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6708100 + 277729 = 2590^2 + 527^2 .

It is a cyclic number.

It is not a de Polignac number, because 6985829 - 2¹⁶ = 6920293 is a prime.

It is a super-3 number, since 3×6985829³ (a number of 22 digits) contains 333 as substring.

Together with 6985831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6985229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3492914 + 3492915.

It is an arithmetic number, because the mean of its divisors is an integer number (3492915).

Almost surely, 2^6985829 is an apocalyptic number.

It is an amenable number.

6985829 is a deficient number, since it is larger than the sum of its proper divisors (1).

6985829 is an equidigital number, since it uses as much as digits as its factorization.

6985829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 311040, while the sum is 47.

The square root of 6985829 is about 2643.0718870284. The cubic root of 6985829 is about 191.1639446523.

The spelling of 6985829 in words is "six million, nine hundred eighty-five thousand, eight hundred twenty-nine".