9002961 has 16 divisors (see below), whose sum is σ = 14550720. Its totient is φ = 5456160.

The previous prime is 9002923. The next prime is 9002969. The reversal of 9002961 is 1692009.

It is a happy number.

9002961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9002961 - 2⁹ = 9002449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9002969) 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 15 ways as a sum of consecutive naturals, for example, 14860 + ... + 15453.

It is an arithmetic number, because the mean of its divisors is an integer number (909420).

Almost surely, 2^9002961 is an apocalyptic number.

It is an amenable number.

9002961 is a deficient number, since it is larger than the sum of its proper divisors (5547759).

9002961 is a wasteful number, since it uses less digits than its factorization.

9002961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30333 (or 30327 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 9002961 is about 3000.4934594163. The cubic root of 9002961 is about 208.0311913899.

The spelling of 9002961 in words is "nine million, two thousand, nine hundred sixty-one".