96561 has 6 divisors (see below), whose sum is σ = 139490. Its totient is φ = 64368.

The previous prime is 96557. The next prime is 96581. The reversal of 96561 is 16569.

96561 is a `hidden beast` number, since 9 + 656 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 6561 = 300^2 + 81^2 .

It is not a de Polignac number, because 96561 - 2² = 96557 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96581) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5356 + ... + 5373.

2⁹⁶⁵⁶¹ is an apocalyptic number.

It is an amenable number.

96561 is a deficient number, since it is larger than the sum of its proper divisors (42929).

96561 is a wasteful number, since it uses less digits than its factorization.

96561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10735 (or 10732 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 96561 is about 310.7426588031. The cubic root of 96561 is about 45.8775888429.

It can be divided in two parts, 9 and 6561, that multiplied together give a 10-th power (59049 = 3¹⁰).

The spelling of 96561 in words is "ninety-six thousand, five hundred sixty-one".