10009961 has 4 divisors (see below), whose sum is σ = 10779972. Its totient is φ = 9239952.

The previous prime is 10009939. The next prime is 10009963. The reversal of 10009961 is 16990001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 16990001 = 7 ⋅2427143.

It can be written as a sum of positive squares in 2 ways, for example, as 4515625 + 5494336 = 2125^2 + 2344^2 .

It is a cyclic number.

It is not a de Polignac number, because 10009961 - 2⁶ = 10009897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10009961.

It is not an unprimeable number, because it can be changed into a prime (10009963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384986 + ... + 385011.

It is an arithmetic number, because the mean of its divisors is an integer number (2694993).

Almost surely, 2^10009961 is an apocalyptic number.

It is an amenable number.

10009961 is a deficient number, since it is larger than the sum of its proper divisors (770011).

10009961 is an equidigital number, since it uses as much as digits as its factorization.

10009961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770010.

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 10009961 is about 3163.8522405447. The cubic root of 10009961 is about 215.5149796777.

Adding to 10009961 its reverse (16990001), we get a palindrome (26999962).

The spelling of 10009961 in words is "ten million, nine thousand, nine hundred sixty-one".