9901953 has 16 divisors (see below), whose sum is σ = 14736960. Its totient is φ = 6571008.

The previous prime is 9901901. The next prime is 9901981. The reversal of 9901953 is 3591099.

It is not a de Polignac number, because 9901953 - 2⁶ = 9901889 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9901253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6226 + ... + 7652.

It is an arithmetic number, because the mean of its divisors is an integer number (921060).

Almost surely, 2^9901953 is an apocalyptic number.

It is an amenable number.

9901953 is a deficient number, since it is larger than the sum of its proper divisors (4835007).

9901953 is a wasteful number, since it uses less digits than its factorization.

9901953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 9901953 is about 3146.7368812788. The cubic root of 9901953 is about 214.7370356320.

The spelling of 9901953 in words is "nine million, nine hundred one thousand, nine hundred fifty-three".