957840001 has 2 divisors, whose sum is σ = 957840002. Its totient is φ = 957840000.

The previous prime is 957839977. The next prime is 957840011. The reversal of 957840001 is 100048759.

It is a happy number.

957840001 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., 498852225 + 458987776 = 22335^2 + 21424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-957840001 is a prime.

It is not a weakly prime, because it can be changed into another prime (957840011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 478920000 + 478920001.

It is an arithmetic number, because the mean of its divisors is an integer number (478920001).

Almost surely, 2^957840001 is an apocalyptic number.

It is an amenable number.

957840001 is a deficient number, since it is larger than the sum of its proper divisors (1).

957840001 is an equidigital number, since it uses as much as digits as its factorization.

957840001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 957840001 is about 30948.9903066320. The cubic root of 957840001 is about 985.7444108606.

The spelling of 957840001 in words is "nine hundred fifty-seven million, eight hundred forty thousand, one".