9005577 has 16 divisors (see below), whose sum is σ = 13867392. Its totient is φ = 5091840.

The previous prime is 9005561. The next prime is 9005621. The reversal of 9005577 is 7755009.

It is not a de Polignac number, because 9005577 - 2⁴ = 9005561 is a prime.

It is a super-2 number, since 2×9005577² = 162200834205858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9005977) 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, 174 + ... + 4247.

It is an arithmetic number, because the mean of its divisors is an integer number (866712).

Almost surely, 2^9005577 is an apocalyptic number.

9005577 is a gapful number since it is divisible by the number (97) formed by its first and last digit.

It is an amenable number.

9005577 is a deficient number, since it is larger than the sum of its proper divisors (4861815).

9005577 is a wasteful number, since it uses less digits than its factorization.

9005577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528.

The product of its (nonzero) digits is 11025, while the sum is 33.

The square root of 9005577 is about 3000.9293560496. The cubic root of 9005577 is about 208.0513387205.

The spelling of 9005577 in words is "nine million, five thousand, five hundred seventy-seven".