966561 has 8 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 632112.

The previous prime is 966557. The next prime is 966583. The reversal of 966561 is 165669.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 966561 - 2² = 966557 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966561.

It is not an unprimeable number, because it can be changed into a prime (966521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2881 + ... + 3198.

It is an arithmetic number, because the mean of its divisors is an integer number (164160).

2⁹⁶⁶⁵⁶¹ is an apocalyptic number.

It is an amenable number.

966561 is a deficient number, since it is larger than the sum of its proper divisors (346719).

966561 is a wasteful number, since it uses less digits than its factorization.

966561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135.

The product of its digits is 9720, while the sum is 33.

The square root of 966561 is about 983.1383422489. The cubic root of 966561 is about 98.8727065124.

The spelling of 966561 in words is "nine hundred sixty-six thousand, five hundred sixty-one".