916961 has 2 divisors, whose sum is σ = 916962. Its totient is φ = 916960.

The previous prime is 916939. The next prime is 916973. The reversal of 916961 is 169619.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 913936 + 3025 = 956^2 + 55^2 .

It is a cyclic number.

It is not a de Polignac number, because 916961 - 2¹⁴ = 900577 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 916961.

It is not a weakly prime, because it can be changed into another prime (916931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 458480 + 458481.

It is an arithmetic number, because the mean of its divisors is an integer number (458481).

2⁹¹⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

916961 is a deficient number, since it is larger than the sum of its proper divisors (1).

916961 is an equidigital number, since it uses as much as digits as its factorization.

916961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2916, while the sum is 32.

The square root of 916961 is about 957.5808059898. The cubic root of 916961 is about 97.1516740020.

The spelling of 916961 in words is "nine hundred sixteen thousand, nine hundred sixty-one".