2006313667 has 8 divisors (see below), whose sum is σ = 2216694816. Its totient is φ = 1806195072.

The previous prime is 2006313649. The next prime is 2006313671. The reversal of 2006313667 is 7663136002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2006313667 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2006313367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2565228 + ... + 2566009.

It is an arithmetic number, because the mean of its divisors is an integer number (277086852).

Almost surely, 2^2006313667 is an apocalyptic number.

2006313667 is a deficient number, since it is larger than the sum of its proper divisors (210381149).

2006313667 is a wasteful number, since it uses less digits than its factorization.

2006313667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131277.

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 2006313667 is about 44791.8928713668. The cubic root of 2006313667 is about 1261.2454442327.

Adding to 2006313667 its reverse (7663136002), we get a palindrome (9669449669).

The spelling of 2006313667 in words is "two billion, six million, three hundred thirteen thousand, six hundred sixty-seven".