9835961 has 2 divisors, whose sum is σ = 9835962. Its totient is φ = 9835960.

The previous prime is 9835951. The next prime is 9835963. The reversal of 9835961 is 1695389.

9835961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9265936 + 570025 = 3044^2 + 755^2 .

It is a cyclic number.

It is not a de Polignac number, because 9835961 - 2¹⁴ = 9819577 is a prime.

It is a super-2 number, since 2×9835961² = 193492257587042, which contains 22 as substring.

Together with 9835963, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (9835963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4917980 + 4917981.

It is an arithmetic number, because the mean of its divisors is an integer number (4917981).

Almost surely, 2^9835961 is an apocalyptic number.

It is an amenable number.

9835961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9835961 is an equidigital number, since it uses as much as digits as its factorization.

9835961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 58320, while the sum is 41.

The square root of 9835961 is about 3136.2335691080. The cubic root of 9835961 is about 214.2589304725.

The spelling of 9835961 in words is "nine million, eight hundred thirty-five thousand, nine hundred sixty-one".