6966561 has 16 divisors (see below), whose sum is σ = 10688384. Its totient is φ = 3953664.

The previous prime is 6966551. The next prime is 6966569. The reversal of 6966561 is 1656696.

It is not a de Polignac number, because 6966561 - 2⁵ = 6966529 is a prime.

It is a super-3 number, since 3×6966561³ (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6966569) 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, 2241 + ... + 4353.

It is an arithmetic number, because the mean of its divisors is an integer number (668024).

Almost surely, 2^6966561 is an apocalyptic number.

It is an amenable number.

6966561 is a deficient number, since it is larger than the sum of its proper divisors (3721823).

6966561 is a wasteful number, since it uses less digits than its factorization.

6966561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280.

The product of its digits is 58320, while the sum is 39.

The square root of 6966561 is about 2639.4243690623. The cubic root of 6966561 is about 190.9880295487.

The spelling of 6966561 in words is "six million, nine hundred sixty-six thousand, five hundred sixty-one".