1682000001 has 24 divisors (see below), whose sum is σ = 2658483360. Its totient is φ = 1016294400.

The previous prime is 1681999999. The next prime is 1682000017. The reversal of 1682000001 is 1000002861.

It is not a de Polignac number, because 1682000001 - 2¹ = 1681999999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1682000041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7105 + ... + 58433.

It is an arithmetic number, because the mean of its divisors is an integer number (110770140).

Almost surely, 2^1682000001 is an apocalyptic number.

1682000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1682000001 is a deficient number, since it is larger than the sum of its proper divisors (976483359).

1682000001 is a wasteful number, since it uses less digits than its factorization.

1682000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51677 (or 51674 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1682000001 is about 41012.1933210113. The cubic root of 1682000001 is about 1189.2559435512.

Adding to 1682000001 its reverse (1000002861), we get a palindrome (2682002862).

The spelling of 1682000001 in words is "one billion, six hundred eighty-two million, one", and thus it is an aban number.