983217340 has 144 divisors (see below), whose sum is σ = 2530592064. Its totient is φ = 319334400.

The previous prime is 983217311. The next prime is 983217373. The reversal of 983217340 is 43712389.

983217340 is a nontrivial binomial coefficient, being equal to C(44345, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 983217340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4079620 + ... + 4079860.

It is an arithmetic number, because the mean of its divisors is an integer number (17573556).

Almost surely, 2^983217340 is an apocalyptic number.

983217340 is the 44344-th triangular number.

983217340 is the 14782-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983217340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265296032).

983217340 is an abundant number, since it is smaller than the sum of its proper divisors (1547374724).

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

983217340 is a wasteful number, since it uses less digits than its factorization.

983217340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 983217340 is about 31356.2966563336. The cubic root of 983217340 is about 994.3741896093.

It can be divided in two parts, 9832 and 17340, that added together give a palindrome (27172).

The spelling of 983217340 in words is "nine hundred eighty-three million, two hundred seventeen thousand, three hundred forty".