1000768957 has 2 divisors, whose sum is σ = 1000768958. Its totient is φ = 1000768956.

The previous prime is 1000768943. The next prime is 1000768961. The reversal of 1000768957 is 7598670001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 606587641 + 394181316 = 24629^2 + 19854^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000768957 - 2¹⁹ = 1000244669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000768987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500384478 + 500384479.

It is an arithmetic number, because the mean of its divisors is an integer number (500384479).

Almost surely, 2^1000768957 is an apocalyptic number.

It is an amenable number.

1000768957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000768957 is an equidigital number, since it uses as much as digits as its factorization.

1000768957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 1000768957 is about 31634.9325429975. The cubic root of 1000768957 is about 1000.2562533286.

The spelling of 1000768957 in words is "one billion, seven hundred sixty-eight thousand, nine hundred fifty-seven".