657072667 has 2 divisors, whose sum is σ = 657072668. Its totient is φ = 657072666.

The previous prime is 657072659. The next prime is 657072673. The reversal of 657072667 is 766270756.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 657072667 - 2³ = 657072659 is a prime.

It is not a weakly prime, because it can be changed into another prime (657072617) 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, 328536333 + 328536334.

It is an arithmetic number, because the mean of its divisors is an integer number (328536334).

Almost surely, 2^657072667 is an apocalyptic number.

657072667 is a deficient number, since it is larger than the sum of its proper divisors (1).

657072667 is an equidigital number, since it uses as much as digits as its factorization.

657072667 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 740880, while the sum is 46.

The square root of 657072667 is about 25633.4287015998. The cubic root of 657072667 is about 869.3696349763.

The spelling of 657072667 in words is "six hundred fifty-seven million, seventy-two thousand, six hundred sixty-seven".