9782961 has 16 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 6363200.

The previous prime is 9782957. The next prime is 9782963. The reversal of 9782961 is 1692879.

It is a cyclic number.

It is not a de Polignac number, because 9782961 - 2² = 9782957 is a prime.

9782961 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9782963) 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 15 ways as a sum of consecutive naturals, for example, 24955 + ... + 25343.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^9782961 is an apocalyptic number.

It is an amenable number.

9782961 is a deficient number, since it is larger than the sum of its proper divisors (3583119).

9782961 is a wasteful number, since it uses less digits than its factorization.

9782961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its digits is 54432, while the sum is 42.

The square root of 9782961 is about 3127.7725300923. The cubic root of 9782961 is about 213.8734002415.

The spelling of 9782961 in words is "nine million, seven hundred eighty-two thousand, nine hundred sixty-one".