9001961 has 2 divisors, whose sum is σ = 9001962. Its totient is φ = 9001960.

The previous prime is 9001933. The next prime is 9001963. The reversal of 9001961 is 1691009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8886361 + 115600 = 2981^2 + 340^2 .

It is a cyclic number.

It is not a de Polignac number, because 9001961 - 2⁶ = 9001897 is a prime.

Together with 9001963, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9001961.

It is not a weakly prime, because it can be changed into another prime (9001963) 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 as a sum of consecutive naturals, namely, 4500980 + 4500981.

It is an arithmetic number, because the mean of its divisors is an integer number (4500981).

Almost surely, 2^9001961 is an apocalyptic number.

It is an amenable number.

9001961 is a deficient number, since it is larger than the sum of its proper divisors (1).

9001961 is an equidigital number, since it uses as much as digits as its factorization.

9001961 is an odious number, because the sum of its binary digits is odd.

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

The square root of 9001961 is about 3000.3268155319. The cubic root of 9001961 is about 208.0234887798.

The spelling of 9001961 in words is "nine million, one thousand, nine hundred sixty-one".