9004149 has 64 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 4536000.

The previous prime is 9004147. The next prime is 9004189. The reversal of 9004149 is 9414009.

It is not a de Polignac number, because 9004149 - 2¹ = 9004147 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9004147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126784 + ... + 126854.

It is an arithmetic number, because the mean of its divisors is an integer number (267840).

Almost surely, 2^9004149 is an apocalyptic number.

9004149 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9004149 is a deficient number, since it is larger than the sum of its proper divisors (8137611).

9004149 is a wasteful number, since it uses less digits than its factorization.

9004149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9004149 is about 3000.6914203230. The cubic root of 9004149 is about 208.0403413494.

The spelling of 9004149 in words is "nine million, four thousand, one hundred forty-nine".