9002116 has 12 divisors (see below), whose sum is σ = 15811740. Its totient is φ = 4484480.

The previous prime is 9002113. The next prime is 9002171. The reversal of 9002116 is 6112009.

It can be written as a sum of positive squares in 2 ways, for example, as 5953600 + 3048516 = 2440^2 + 1746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9002093 and 9002102.

It is not an unprimeable number, because it can be changed into a prime (9002113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2881 + ... + 5128.

It is an arithmetic number, because the mean of its divisors is an integer number (1317645).

Almost surely, 2^9002116 is an apocalyptic number.

It is an amenable number.

9002116 is a deficient number, since it is larger than the sum of its proper divisors (6809624).

9002116 is a wasteful number, since it uses less digits than its factorization.

9002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

The square root of 9002116 is about 3000.3526459401. The cubic root of 9002116 is about 208.0246827217.

It can be divided in two parts, 900 and 2116, that multiplied together give a square (1904400 = 1380²).

The spelling of 9002116 in words is "nine million, two thousand, one hundred sixteen".