1982000 has 40 divisors (see below), whose sum is σ = 4797312. Its totient is φ = 792000.

The previous prime is 1981997. The next prime is 1982011. The reversal of 1982000 is 2891.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1505 + ... + 2495.

2^1982000 is an apocalyptic number.

1982000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398656).

1982000 is an abundant number, since it is smaller than the sum of its proper divisors (2815312).

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

1982000 is an equidigital number, since it uses as much as digits as its factorization.

1982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1982000 is about 1407.8352176302. The cubic root of 1982000 is about 125.6129890417.

Adding to 1982000 its reverse (2891), we get a palindrome (1984891).

The spelling of 1982000 in words is "one million, nine hundred eighty-two thousand".