9005256 has 80 divisors (see below), whose sum is σ = 27188700. Its totient is φ = 2768256.

The previous prime is 9005237. The next prime is 9005267. The reversal of 9005256 is 6525009.

It can be written as a sum of positive squares in 2 ways, for example, as 8608356 + 396900 = 2934^2 + 630^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7890 + ... + 8958.

Almost surely, 2^9005256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9005256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594350).

9005256 is an abundant number, since it is smaller than the sum of its proper divisors (18183444).

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

9005256 is a wasteful number, since it uses less digits than its factorization.

9005256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 9005256 is about 3000.8758721413. The cubic root of 9005256 is about 208.0488667237.

It can be divided in two parts, 9005 and 256, that added together give a cube (9261 = 21³).

The spelling of 9005256 in words is "nine million, five thousand, two hundred fifty-six".