966961 has 2 divisors, whose sum is σ = 966962. Its totient is φ = 966960.

The previous prime is 966937. The next prime is 966971. The reversal of 966961 is 169669.

966961 is nontrivially palindromic in base 9.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 960400 + 6561 = 980^2 + 81^2 .

It is a cyclic number.

It is not a de Polignac number, because 966961 - 2¹¹ = 964913 is a prime.

966961 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 966961.

It is not a weakly prime, because it can be changed into another prime (966971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483480 + 483481.

It is an arithmetic number, because the mean of its divisors is an integer number (483481).

2⁹⁶⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

966961 is a deficient number, since it is larger than the sum of its proper divisors (1).

966961 is an equidigital number, since it uses as much as digits as its factorization.

966961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 37.

The square root of 966961 is about 983.3417513764. The cubic root of 966961 is about 98.8863437370.

It can be divided in two parts, 9669 and 61, that added together give a triangular number (9730 = T₁₃₉).

The spelling of 966961 in words is "nine hundred sixty-six thousand, nine hundred sixty-one".