981813241 has 8 divisors (see below), whose sum is σ = 1043120520. Its totient is φ = 922336128.

The previous prime is 981813199. The next prime is 981813247. The reversal of 981813241 is 142318189.

It can be written as a sum of positive squares in 4 ways, for example, as 104468841 + 877344400 = 10221^2 + 29620^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 981813241 - 2⁹ = 981812729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 981813241.

It is not an unprimeable number, because it can be changed into a prime (981813247) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 456436 + ... + 458581.

It is an arithmetic number, because the mean of its divisors is an integer number (130390065).

Almost surely, 2^981813241 is an apocalyptic number.

It is an amenable number.

981813241 is a deficient number, since it is larger than the sum of its proper divisors (61307279).

981813241 is a wasteful number, since it uses less digits than its factorization.

981813241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915083.

The product of its digits is 13824, while the sum is 37.

The square root of 981813241 is about 31333.8992307054. The cubic root of 981813241 is about 993.9006202034.

The spelling of 981813241 in words is "nine hundred eighty-one million, eight hundred thirteen thousand, two hundred forty-one".