1024072961 has 2 divisors, whose sum is σ = 1024072962. Its totient is φ = 1024072960.

The previous prime is 1024072937. The next prime is 1024072967. The reversal of 1024072961 is 1692704201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 997612225 + 26460736 = 31585^2 + 5144^2 .

It is a cyclic number.

It is not a de Polignac number, because 1024072961 - 2⁶ = 1024072897 is a prime.

It is not a weakly prime, because it can be changed into another prime (1024072967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512036480 + 512036481.

It is an arithmetic number, because the mean of its divisors is an integer number (512036481).

Almost surely, 2^1024072961 is an apocalyptic number.

It is an amenable number.

1024072961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024072961 is an equidigital number, since it uses as much as digits as its factorization.

1024072961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1024072961 is about 32001.1399953189. The cubic root of 1024072961 is about 1007.9607781754.

The spelling of 1024072961 in words is "one billion, twenty-four million, seventy-two thousand, nine hundred sixty-one".