1682982 has 72 divisors (see below), whose sum is σ = 4517136. Its totient is φ = 443232.

The previous prime is 1682951. The next prime is 1682987. The reversal of 1682982 is 2892861.

1682982 is an undulating number in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45468 + ... + 45504.

It is an arithmetic number, because the mean of its divisors is an integer number (62738).

2^1682982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258568).

1682982 is an abundant number, since it is smaller than the sum of its proper divisors (2834154).

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

1682982 is a wasteful number, since it uses less digits than its factorization.

1682982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1682982 is about 1297.2979611485. The cubic root of 1682982 is about 118.9487338903.

The spelling of 1682982 in words is "one million, six hundred eighty-two thousand, nine hundred eighty-two".