9762961 has 12 divisors (see below), whose sum is σ = 10837260. Its totient is φ = 8785920.

The previous prime is 9762919. The next prime is 9762967. The reversal of 9762961 is 1692679.

It can be written as a sum of positive squares in 6 ways, for example, as 6990736 + 2772225 = 2644^2 + 1665^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9762961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9762967) 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 11 ways as a sum of consecutive naturals, for example, 6225 + ... + 7633.

It is an arithmetic number, because the mean of its divisors is an integer number (903105).

Almost surely, 2^9762961 is an apocalyptic number.

It is an amenable number.

9762961 is a deficient number, since it is larger than the sum of its proper divisors (1074299).

9762961 is a wasteful number, since it uses less digits than its factorization.

9762961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1463 counting only the distinct ones).

The product of its digits is 40824, while the sum is 40.

The square root of 9762961 is about 3124.5737309271. The cubic root of 9762961 is about 213.7275552964.

The spelling of 9762961 in words is "nine million, seven hundred sixty-two thousand, nine hundred sixty-one".