9004801 has 16 divisors (see below), whose sum is σ = 10114384. Its totient is φ = 7962624.

The previous prime is 9004771. The next prime is 9004811. The reversal of 9004801 is 1084009.

It can be written as a sum of positive squares in 8 ways, for example, as 148225 + 8856576 = 385^2 + 2976^2 .

It is a 5-Lehmer number, since φ(9004801) divides (9004801-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 9004801 - 2¹³ = 8996609 is a prime.

It is a deceptive number, since it divides R_9004800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9004811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46561 + ... + 46753.

It is an arithmetic number, because the mean of its divisors is an integer number (632149).

Almost surely, 2^9004801 is an apocalyptic number.

It is an amenable number.

9004801 is a deficient number, since it is larger than the sum of its proper divisors (1109583).

9004801 is a wasteful number, since it uses less digits than its factorization.

9004801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 9004801 is about 3000.8000599840. The cubic root of 9004801 is about 208.0453627023.

The spelling of 9004801 in words is "nine million, four thousand, eight hundred one".