9712961 has 2 divisors, whose sum is σ = 9712962. Its totient is φ = 9712960.

The previous prime is 9712957. The next prime is 9712979. The reversal of 9712961 is 1692179.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5382400 + 4330561 = 2320^2 + 2081^2 .

It is a cyclic number.

It is not a de Polignac number, because 9712961 - 2² = 9712957 is a prime.

It is a super-2 number, since 2×9712961² = 188683222775042, which contains 22 as substring.

It is equal to p₆₄₆₈₆₅ and since 9712961 and 646865 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (9712921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4856480 + 4856481.

It is an arithmetic number, because the mean of its divisors is an integer number (4856481).

Almost surely, 2^9712961 is an apocalyptic number.

It is an amenable number.

9712961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9712961 is an equidigital number, since it uses as much as digits as its factorization.

9712961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 35.

The square root of 9712961 is about 3116.5623690214. The cubic root of 9712961 is about 213.3620694255.

The spelling of 9712961 in words is "nine million, seven hundred twelve thousand, nine hundred sixty-one".