6820961 has 24 divisors (see below), whose sum is σ = 8722944. Its totient is φ = 5201280.

The previous prime is 6820951. The next prime is 6820967. The reversal of 6820961 is 1690286.

It is not a de Polignac number, because 6820961 - 2⁶ = 6820897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6820967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158606 + ... + 158648.

It is an arithmetic number, because the mean of its divisors is an integer number (363456).

Almost surely, 2^6820961 is an apocalyptic number.

It is an amenable number.

6820961 is a deficient number, since it is larger than the sum of its proper divisors (1901983).

6820961 is a wasteful number, since it uses less digits than its factorization.

6820961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 6820961 is about 2611.6969579184. The cubic root of 6820961 is about 189.6481113849.

The spelling of 6820961 in words is "six million, eight hundred twenty thousand, nine hundred sixty-one".