961 has 3 divisors (see below), whose sum is σ = 993. Its totient is φ = 930.

The previous prime is 953. The next prime is 967. The reversal of 961 is 169.

Multipling 961 by its sum of digits (16), we get a square (15376 = 124^{2}).

Multipling 961 by its reverse (169), we get a square (162409 = 403^{2}).

961 = T_{30} + T_{31}.

The square root of 961 is 31.

It is a perfect power (a square), and thus also a powerful number.

961 is nontrivially palindromic in base 5.

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

961 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 169 = 13^{2}.

It is not a de Polignac number, because 961 - 2^{3} = 953 is a prime.

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

It is a Duffinian number.

961 is a lucky number.

It is a plaindrome in base 9 and base 13.

It is a nialpdrome in base 10 and base 15.

It is not an unprimeable number, because it can be changed into a prime (967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 16 + ... + 46.

It is an arithmetic number, because the mean of its divisors is an integer number (331).

It is a Proth number, since it is equal to 15 ⋅ 2^{6} + 1 and 15 < 2^{6}.

961 is the 31-st square number.

961 is the 16-th centered octagonal number.

It is an amenable number.

961 is a deficient number, since it is larger than the sum of its proper divisors (32).

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

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

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its digits is 54, while the sum is 16.

The cubic root of 961 is about 9.8682724032.

The spelling of 961 in words is "nine hundred sixty-one", and thus it is an aban number.

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