10961 has 4 divisors (see below), whose sum is σ = 11172. Its totient is φ = 10752.

The previous prime is 10957. The next prime is 10973. The reversal of 10961 is 16901.

10961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1936 + 9025 = 44^2 + 95^2 .

It is a cyclic number.

It is not a de Polignac number, because 10961 - 2² = 10957 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2¹⁰⁹⁶¹ is an apocalyptic number.

It is an amenable number.

10961 is a deficient number, since it is larger than the sum of its proper divisors (211).

10961 is an equidigital number, since it uses as much as digits as its factorization.

10961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10961 is about 104.6947945220. The cubic root of 10961 is about 22.2134863811.

The spelling of 10961 in words is "ten thousand, nine hundred sixty-one".