9005634 has 32 divisors (see below), whose sum is σ = 21833280. Its totient is φ = 2728800.

The previous prime is 9005621. The next prime is 9005657. The reversal of 9005634 is 4365009.

It is a happy number.

It is a super-2 number, since 2×9005634² = 162202887483912, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 9005598 and 9005607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6987 + ... + 8174.

It is an arithmetic number, because the mean of its divisors is an integer number (682290).

Almost surely, 2^9005634 is an apocalyptic number.

9005634 is an abundant number, since it is smaller than the sum of its proper divisors (12827646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9005634 is a wasteful number, since it uses less digits than its factorization.

9005634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15183 (or 15177 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 9005634 is about 3000.9388530925. The cubic root of 9005634 is about 208.0517776671.

The spelling of 9005634 in words is "nine million, five thousand, six hundred thirty-four".