1009737961 has 2 divisors, whose sum is σ = 1009737962. Its totient is φ = 1009737960.

The previous prime is 1009737929. The next prime is 1009738007. The reversal of 1009737961 is 1697379001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 690901225 + 318836736 = 26285^2 + 17856^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009737961 - 2⁵ = 1009737929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1009737901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504868980 + 504868981.

It is an arithmetic number, because the mean of its divisors is an integer number (504868981).

Almost surely, 2^1009737961 is an apocalyptic number.

It is an amenable number.

1009737961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009737961 is an equidigital number, since it uses as much as digits as its factorization.

1009737961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 71442, while the sum is 43.

The square root of 1009737961 is about 31776.3742582441. The cubic root of 1009737961 is about 1003.2355072028.

The spelling of 1009737961 in words is "one billion, nine million, seven hundred thirty-seven thousand, nine hundred sixty-one".