1682681 has 24 divisors (see below), whose sum is σ = 2315712. Its totient is φ = 1180800.

The previous prime is 1682671. The next prime is 1682693. The reversal of 1682681 is 1862861.

It is not a de Polignac number, because 1682681 - 2¹⁴ = 1666297 is a prime.

It is a super-2 number, since 2×1682681² = 5662830695522, which contains 22 as substring.

Its product of digits (4608) is a multiple of the sum of its prime divisors (72).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1682671) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41021 + ... + 41061.

It is an arithmetic number, because the mean of its divisors is an integer number (96488).

2^1682681 is an apocalyptic number.

1682681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1682681 is a deficient number, since it is larger than the sum of its proper divisors (633031).

1682681 is a wasteful number, since it uses less digits than its factorization.

1682681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 72 counting only the distinct ones).

The product of its digits is 4608, while the sum is 32.

The square root of 1682681 is about 1297.1819456036. The cubic root of 1682681 is about 118.9416421718.

The spelling of 1682681 in words is "one million, six hundred eighty-two thousand, six hundred eighty-one".