16008993 has 48 divisors (see below), whose sum is σ = 31065216. Its totient is φ = 7672320.

The previous prime is 16008991. The next prime is 16009033. The reversal of 16008993 is 39980061.

It is not a de Polignac number, because 16008993 - 2¹ = 16008991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16008991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8121 + ... + 9897.

It is an arithmetic number, because the mean of its divisors is an integer number (647192).

Almost surely, 2^16008993 is an apocalyptic number.

16008993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16008993 is a deficient number, since it is larger than the sum of its proper divisors (15056223).

16008993 is a wasteful number, since it uses less digits than its factorization.

16008993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 16008993 is about 4001.1239670872. The cubic root of 16008993 is about 252.0314114284.

The spelling of 16008993 in words is "sixteen million, eight thousand, nine hundred ninety-three".