9005121 has 32 divisors (see below), whose sum is σ = 14757120. Its totient is φ = 5398272.

The previous prime is 9005119. The next prime is 9005149. The reversal of 9005121 is 1215009.

It is not a de Polignac number, because 9005121 - 2¹ = 9005119 is a prime.

It is a super-3 number, since 3×9005121³ (a number of 22 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9005094 and 9005103.

It is not an unprimeable number, because it can be changed into a prime (9005021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10131 + ... + 10983.

It is an arithmetic number, because the mean of its divisors is an integer number (461160).

Almost surely, 2^9005121 is an apocalyptic number.

It is an amenable number.

9005121 is a deficient number, since it is larger than the sum of its proper divisors (5751999).

9005121 is a wasteful number, since it uses less digits than its factorization.

9005121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 9005121 is about 3000.8533786242. The cubic root of 9005121 is about 208.0478270813.

The spelling of 9005121 in words is "nine million, five thousand, one hundred twenty-one".