6828101 has 16 divisors (see below), whose sum is σ = 8438400. Its totient is φ = 5503680.

The previous prime is 6828089. The next prime is 6828103. The reversal of 6828101 is 1018286.

It is not a de Polignac number, because 6828101 - 2¹⁰ = 6827077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828103) 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, 5246 + ... + 6416.

It is an arithmetic number, because the mean of its divisors is an integer number (527400).

Almost surely, 2^6828101 is an apocalyptic number.

It is an amenable number.

6828101 is a deficient number, since it is larger than the sum of its proper divisors (1610299).

6828101 is a wasteful number, since it uses less digits than its factorization.

6828101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 6828101 is about 2613.0635277390. The cubic root of 6828101 is about 189.7142611701.

The spelling of 6828101 in words is "six million, eight hundred twenty-eight thousand, one hundred one".