9008083201 has 16 divisors (see below), whose sum is σ = 10074817984. Its totient is φ = 8000524224.

The previous prime is 9008083187. The next prime is 9008083213. The reversal of 9008083201 is 1023808009.

It is a cyclic number.

It is not a de Polignac number, because 9008083201 - 2¹⁵ = 9008050433 is a prime.

It is a super-2 number, since 2×9008083201² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9008083241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82806 + ... + 157711.

It is an arithmetic number, because the mean of its divisors is an integer number (629676124).

Almost surely, 2^9008083201 is an apocalyptic number.

It is an amenable number.

9008083201 is a deficient number, since it is larger than the sum of its proper divisors (1066734783).

9008083201 is a wasteful number, since it uses less digits than its factorization.

9008083201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240640.

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 9008083201 is about 94910.9224536354. The cubic root of 9008083201 is about 2080.7063676626.

The spelling of 9008083201 in words is "nine billion, eight million, eighty-three thousand, two hundred one".