9785961 has 8 divisors (see below), whose sum is σ = 14497760. Its totient is φ = 6523956.

The previous prime is 9785903. The next prime is 9785989. The reversal of 9785961 is 1695879.

It is not a de Polignac number, because 9785961 - 2⁹ = 9785449 is a prime.

It is a Duffinian number.

9785961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9785261) 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 in 7 ways as a sum of consecutive naturals, for example, 181195 + ... + 181248.

It is an arithmetic number, because the mean of its divisors is an integer number (1812220).

Almost surely, 2^9785961 is an apocalyptic number.

It is an amenable number.

9785961 is a deficient number, since it is larger than the sum of its proper divisors (4711799).

9785961 is a wasteful number, since it uses less digits than its factorization.

9785961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362452 (or 362446 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 9785961 is about 3128.2520678488. The cubic root of 9785961 is about 213.8952598341.

The spelling of 9785961 in words is "nine million, seven hundred eighty-five thousand, nine hundred sixty-one".