784961 has 2 divisors, whose sum is σ = 784962. Its totient is φ = 784960.

The previous prime is 784957. The next prime is 784981. The reversal of 784961 is 169487.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 591361 + 193600 = 769^2 + 440^2 .

It is a cyclic number.

It is not a de Polignac number, because 784961 - 2² = 784957 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 784961.

It is not a weakly prime, because it can be changed into another prime (784981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 392480 + 392481.

It is an arithmetic number, because the mean of its divisors is an integer number (392481).

2⁷⁸⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

784961 is a deficient number, since it is larger than the sum of its proper divisors (1).

784961 is an equidigital number, since it uses as much as digits as its factorization.

784961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12096, while the sum is 35.

The square root of 784961 is about 885.9802480868. The cubic root of 784961 is about 92.2463858769.

Adding to 784961 its sum of digits (35), we get a square (784996 = 886²).

It can be divided in two parts, 784 and 961, that multiplied together give a square (753424 = 868²).

The spelling of 784961 in words is "seven hundred eighty-four thousand, nine hundred sixty-one".