9827961 has 32 divisors (see below), whose sum is σ = 15912960. Its totient is φ = 5313600.

The previous prime is 9827953. The next prime is 9827963. The reversal of 9827961 is 1697289.

9827961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

9827961 is a nontrivial binomial coefficient, being equal to C(4434, 2).

It is not a de Polignac number, because 9827961 - 2³ = 9827953 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9827963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12930 + ... + 13668.

It is an arithmetic number, because the mean of its divisors is an integer number (497280).

Almost surely, 2^9827961 is an apocalyptic number.

9827961 is the 4433-rd triangular number and also the 2217-th hexagonal number.

It is an amenable number.

9827961 is a deficient number, since it is larger than the sum of its proper divisors (6084999).

9827961 is a wasteful number, since it uses less digits than its factorization.

9827961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797.

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

The square root of 9827961 is about 3134.9578944541. The cubic root of 9827961 is about 214.2008261225.

The spelling of 9827961 in words is "nine million, eight hundred twenty-seven thousand, nine hundred sixty-one".