2006417827 has 16 divisors (see below), whose sum is σ = 2074849920. Its totient is φ = 1939189248.

The previous prime is 2006417813. The next prime is 2006417839. The reversal of 2006417827 is 7287146002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2006417827 is a prime.

It is a super-4 number, since 4×2006417827⁴ (a number of 38 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2006417807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2340783 + ... + 2341639.

It is an arithmetic number, because the mean of its divisors is an integer number (129678120).

Almost surely, 2^2006417827 is an apocalyptic number.

2006417827 is a deficient number, since it is larger than the sum of its proper divisors (68432093).

2006417827 is a wasteful number, since it uses less digits than its factorization.

2006417827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470.

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 2006417827 is about 44793.0555666835. The cubic root of 2006417827 is about 1261.2672701739.

The spelling of 2006417827 in words is "two billion, six million, four hundred seventeen thousand, eight hundred twenty-seven".