968001137 has 2 divisors, whose sum is σ = 968001138. Its totient is φ = 968001136.

The previous prime is 968001127. The next prime is 968001163. The reversal of 968001137 is 731100869.

968001137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 881436721 + 86564416 = 29689^2 + 9304^2 .

It is a cyclic number.

It is not a de Polignac number, because 968001137 - 2²⁸ = 699565681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 968001097 and 968001106.

It is not a weakly prime, because it can be changed into another prime (968001127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 484000568 + 484000569.

It is an arithmetic number, because the mean of its divisors is an integer number (484000569).

Almost surely, 2^968001137 is an apocalyptic number.

It is an amenable number.

968001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

968001137 is an equidigital number, since it uses as much as digits as its factorization.

968001137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 968001137 is about 31112.7166444848. The cubic root of 968001137 is about 989.2178759568.

The spelling of 968001137 in words is "nine hundred sixty-eight million, one thousand, one hundred thirty-seven".