6829121 has 12 divisors (see below), whose sum is σ = 7833132. Its totient is φ = 5930496.

The previous prime is 6829111. The next prime is 6829129. The reversal of 6829121 is 1219286.

It can be written as a sum of positive squares in 6 ways, for example, as 579121 + 6250000 = 761^2 + 2500^2 .

It is not a de Polignac number, because 6829121 - 2⁶ = 6829057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6829129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1685 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (652761).

Almost surely, 2^6829121 is an apocalyptic number.

It is an amenable number.

6829121 is a deficient number, since it is larger than the sum of its proper divisors (1004011).

6829121 is a wasteful number, since it uses less digits than its factorization.

6829121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2407 counting only the distinct ones).

The product of its digits is 1728, while the sum is 29.

The square root of 6829121 is about 2613.2586936620. The cubic root of 6829121 is about 189.7237073744.

The spelling of 6829121 in words is "six million, eight hundred twenty-nine thousand, one hundred twenty-one".