845972657 has 2 divisors, whose sum is σ = 845972658. Its totient is φ = 845972656.

The previous prime is 845972651. The next prime is 845972689. The reversal of 845972657 is 756279548.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 706709056 + 139263601 = 26584^2 + 11801^2 .

It is a cyclic number.

It is not a de Polignac number, because 845972657 - 2¹⁴ = 845956273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 845972599 and 845972608.

It is not a weakly prime, because it can be changed into another prime (845972651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 422986328 + 422986329.

It is an arithmetic number, because the mean of its divisors is an integer number (422986329).

Almost surely, 2^845972657 is an apocalyptic number.

It is an amenable number.

845972657 is a deficient number, since it is larger than the sum of its proper divisors (1).

845972657 is an equidigital number, since it uses as much as digits as its factorization.

845972657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4233600, while the sum is 53.

The square root of 845972657 is about 29085.6091048477. The cubic root of 845972657 is about 945.7697998548.

The spelling of 845972657 in words is "eight hundred forty-five million, nine hundred seventy-two thousand, six hundred fifty-seven".