9735921 has 36 divisors (see below), whose sum is σ = 15729948. Its totient is φ = 5795712.

The previous prime is 9735919. The next prime is 9735949. The reversal of 9735921 is 1295379.

9735921 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 57600 + 9678321 = 240^2 + 3111^2 .

It is not a de Polignac number, because 9735921 - 2¹ = 9735919 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9735991) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56191 + ... + 56363.

It is an arithmetic number, because the mean of its divisors is an integer number (436943).

Almost surely, 2^9735921 is an apocalyptic number.

It is an amenable number.

9735921 is a deficient number, since it is larger than the sum of its proper divisors (5994027).

9735921 is a wasteful number, since it uses less digits than its factorization.

9735921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 9735921 is about 3120.2437404793. The cubic root of 9735921 is about 213.5300558980.

The spelling of 9735921 in words is "nine million, seven hundred thirty-five thousand, nine hundred twenty-one".