1983150 has 96 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 483840.

The previous prime is 1983143. The next prime is 1983197. The reversal of 1983150 is 513891.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 17494 + ... + 17606.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

2^1983150 is an apocalyptic number.

1983150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1983150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

1983150 is an abundant number, since it is smaller than the sum of its proper divisors (3953970).

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

1983150 is a wasteful number, since it uses less digits than its factorization.

1983150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1983150 is about 1408.2435868840. The cubic root of 1983150 is about 125.6372788176.

It can be divided in two parts, 19831 and 50, that added together give a square (19881 = 141²).

The spelling of 1983150 in words is "one million, nine hundred eighty-three thousand, one hundred fifty".