9005461 has 8 divisors (see below), whose sum is σ = 9587160. Its totient is φ = 8429568.

The previous prime is 9005429. The next prime is 9005473. The reversal of 9005461 is 1645009.

It can be written as a sum of positive squares in 4 ways, for example, as 2579236 + 6426225 = 1606^2 + 2535^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9005461 - 2⁵ = 9005429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005401) 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 7 ways as a sum of consecutive naturals, for example, 2005 + ... + 4693.

It is an arithmetic number, because the mean of its divisors is an integer number (1198395).

Almost surely, 2^9005461 is an apocalyptic number.

It is an amenable number.

9005461 is a deficient number, since it is larger than the sum of its proper divisors (581699).

9005461 is a wasteful number, since it uses less digits than its factorization.

9005461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 9005461 is about 3000.9100286413. The cubic root of 9005461 is about 208.0504454200.

The spelling of 9005461 in words is "nine million, five thousand, four hundred sixty-one".