1982125 has 16 divisors (see below), whose sum is σ = 2514096. Its totient is φ = 1560000.

The previous prime is 1982111. The next prime is 1982129. The reversal of 1982125 is 5212891.

It can be written as a sum of positive squares in 8 ways, for example, as 328329 + 1653796 = 573^2 + 1286^2 .

It is not a de Polignac number, because 1982125 - 2⁵ = 1982093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1982093 and 1982102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12547 + ... + 12703.

It is an arithmetic number, because the mean of its divisors is an integer number (157131).

2^1982125 is an apocalyptic number.

It is an amenable number.

1982125 is a deficient number, since it is larger than the sum of its proper divisors (531971).

1982125 is a wasteful number, since it uses less digits than its factorization.

1982125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 263 counting only the distinct ones).

The product of its digits is 1440, while the sum is 28.

The square root of 1982125 is about 1407.8796113305. The cubic root of 1982125 is about 125.6156296898.

The spelling of 1982125 in words is "one million, nine hundred eighty-two thousand, one hundred twenty-five".