9006001 has 3 divisors (see below), whose sum is σ = 9009003. Its totient is φ = 9003000.

The previous prime is 9005989. The next prime is 9006013. The reversal of 9006001 is 1006009.

The square root of 9006001 is 3001.

It is a perfect power (a square), and thus also a powerful number.

9006001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is an interprime number because it is at equal distance from previous prime (9005989) and next prime (9006013).

It can be written as a sum of positive squares in only one way, i.e., 4844401 + 4161600 = 2201^2 + 2040^2 .

It is not a de Polignac number, because 9006001 - 2⁷ = 9005873 is a prime.

It is a super-2 number, since 2×9006001² = 162216108024002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9006031) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1501 + ... + 4501.

It is an arithmetic number, because the mean of its divisors is an integer number (3003001).

Almost surely, 2^9006001 is an apocalyptic number.

9006001 is the 3001-st square number.

9006001 is the 1501-st centered octagonal number.

It is an amenable number.

9006001 is a deficient number, since it is larger than the sum of its proper divisors (3002).

9006001 is an frugal number, since it uses more digits than its factorization.

9006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 9006001 is about 208.0546038225.

Multiplying 9006001 by its sum of digits (16), we get a square (144096016 = 12004²).

Multiplying 9006001 by its reverse (1006009), we get a square (9060118060009 = 3010003²).

It can be divided in two parts, 900600 and 1, that added together give a square (900601 = 949²).

The spelling of 9006001 in words is "nine million, six thousand, one".