1712106006 has 64 divisors (see below), whose sum is σ = 4030580736. Its totient is φ = 479808000.

The previous prime is 1712105977. The next prime is 1712106029. The reversal of 1712106006 is 6006012171.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20281 + ... + 61931.

It is an arithmetic number, because the mean of its divisors is an integer number (62977824).

Almost surely, 2^1712106006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1712106006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015290368).

1712106006 is an abundant number, since it is smaller than the sum of its proper divisors (2318474730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1712106006 is a wasteful number, since it uses less digits than its factorization.

1712106006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41717.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 1712106006 is about 41377.6027096786. The cubic root of 1712106006 is about 1196.3094965107.

Adding to 1712106006 its reverse (6006012171), we get a palindrome (7718118177).

The spelling of 1712106006 in words is "one billion, seven hundred twelve million, one hundred six thousand, six".