8961 has 8 divisors (see below), whose sum is σ = 12480. Its totient is φ = 5712.

The previous prime is 8951. The next prime is 8963. The reversal of 8961 is 1698.

8961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 8961 - 2⁵ = 8929 is a prime.

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

It is a Curzon number.

8961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 138.

It is an arithmetic number, because the mean of its divisors is an integer number (1560).

It is a Proth number, since it is equal to 35 ⋅ 2⁸ + 1 and 35 < 2⁸.

2⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

8961 is a deficient number, since it is larger than the sum of its proper divisors (3519).

8961 is a wasteful number, since it uses less digits than its factorization.

8961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135.

The product of its digits is 432, while the sum is 24.

The square root of 8961 is about 94.6625585963. The cubic root of 8961 is about 20.7707490712.

It can be divided in two parts, 8 and 961, that added together give a palindrome (969).

The spelling of 8961 in words is "eight thousand, nine hundred sixty-one".