647965201 has 16 divisors (see below), whose sum is σ = 721972944. Its totient is φ = 577649664.

The previous prime is 647965181. The next prime is 647965207. The reversal of 647965201 is 102569746.

It can be written as a sum of positive squares in 8 ways, for example, as 4835601 + 643129600 = 2199^2 + 25360^2 .

It is a cyclic number.

It is not a de Polignac number, because 647965201 - 2⁹ = 647964689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (647965207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60981 + ... + 70813.

It is an arithmetic number, because the mean of its divisors is an integer number (45123309).

Almost surely, 2^647965201 is an apocalyptic number.

It is an amenable number.

647965201 is a deficient number, since it is larger than the sum of its proper divisors (74007743).

647965201 is a wasteful number, since it uses less digits than its factorization.

647965201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020.

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 647965201 is about 25455.1605966256. The cubic root of 647965201 is about 865.3342515236.

The spelling of 647965201 in words is "six hundred forty-seven million, nine hundred sixty-five thousand, two hundred one".