1982900 has 36 divisors (see below), whose sum is σ = 4374720. Its totient is φ = 780000.

The previous prime is 1982891. The next prime is 1982909. The reversal of 1982900 is 92891.

It is an interprime number because it is at equal distance from previous prime (1982891) and next prime (1982909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7775 + ... + 8025.

It is an arithmetic number, because the mean of its divisors is an integer number (121520).

2^1982900 is an apocalyptic number.

1982900 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 1982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187360).

1982900 is an abundant number, since it is smaller than the sum of its proper divisors (2391820).

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

1982900 is a wasteful number, since it uses less digits than its factorization.

1982900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 1982900 is about 1408.1548210335. The cubic root of 1982900 is about 125.6319992305.

It can be divided in two parts, 1982 and 900, that added together give a palindrome (2882).

The spelling of 1982900 in words is "one million, nine hundred eighty-two thousand, nine hundred".