983724961 has 2 divisors, whose sum is σ = 983724962. Its totient is φ = 983724960.

The previous prime is 983724949. The next prime is 983724967. The reversal of 983724961 is 169427389.

983724961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 894309025 + 89415936 = 29905^2 + 9456^2 .

It is a cyclic number.

It is not a de Polignac number, because 983724961 - 2¹¹ = 983722913 is a prime.

It is not a weakly prime, because it can be changed into another prime (983724967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 491862480 + 491862481.

It is an arithmetic number, because the mean of its divisors is an integer number (491862481).

Almost surely, 2^983724961 is an apocalyptic number.

It is an amenable number.

983724961 is a deficient number, since it is larger than the sum of its proper divisors (1).

983724961 is an equidigital number, since it uses as much as digits as its factorization.

983724961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 653184, while the sum is 49.

The square root of 983724961 is about 31364.3900147923. The cubic root of 983724961 is about 994.5452872080.

The spelling of 983724961 in words is "nine hundred eighty-three million, seven hundred twenty-four thousand, nine hundred sixty-one".