10000961 has 2 divisors, whose sum is σ = 10000962. Its totient is φ = 10000960.

The previous prime is 10000943. The next prime is 10000967. The reversal of 10000961 is 16900001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6990736 + 3010225 = 2644^2 + 1735^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000961 - 2¹⁰ = 9999937 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10000967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000480 + 5000481.

It is an arithmetic number, because the mean of its divisors is an integer number (5000481).

Almost surely, 2^10000961 is an apocalyptic number.

It is an amenable number.

10000961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000961 is an equidigital number, since it uses as much as digits as its factorization.

10000961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 10000961 is about 3162.4296039596. The cubic root of 10000961 is about 215.4503701546.

Adding to 10000961 its reverse (16900001), we get a palindrome (26900962).

It can be divided in two parts, 10000 and 961, that multiplied together give a square (9610000 = 3100²).

The spelling of 10000961 in words is "ten million, nine hundred sixty-one", and thus it is an aban number.