981982950 has 72 divisors (see below), whose sum is σ = 2637128088. Its totient is φ = 241712640.

The previous prime is 981982931. The next prime is 981982957. The reversal of 981982950 is 59289189.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 981982893 and 981982902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981982957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5982 + ... + 44718.

It is an arithmetic number, because the mean of its divisors is an integer number (36626779).

Almost surely, 2^981982950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981982950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318564044).

981982950 is an abundant number, since it is smaller than the sum of its proper divisors (1655145138).

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

981982950 is a wasteful number, since it uses less digits than its factorization.

981982950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38778 (or 38760 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The square root of 981982950 is about 31336.6071871222. The cubic root of 981982950 is about 993.9578830159.

The spelling of 981982950 in words is "nine hundred eighty-one million, nine hundred eighty-two thousand, nine hundred fifty".