167647703801657 has 2 divisors, whose sum is σ = 167647703801658. Its totient is φ = 167647703801656.

The previous prime is 167647703801621. The next prime is 167647703801659. The reversal of 167647703801657 is 756108307746761.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84846002793721 + 82801701007936 = 9211189^2 + 9099544^2 .

It is a cyclic number.

It is not a de Polignac number, because 167647703801657 - 2¹⁴ = 167647703785273 is a prime.

Together with 167647703801659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (167647703801659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83823851900828 + 83823851900829.

It is an arithmetic number, because the mean of its divisors is an integer number (83823851900829).

Almost surely, 2^{167647703801657} is an apocalyptic number.

It is an amenable number.

167647703801657 is a deficient number, since it is larger than the sum of its proper divisors (1).

167647703801657 is an equidigital number, since it uses as much as digits as its factorization.

167647703801657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248935680, while the sum is 68.

The spelling of 167647703801657 in words is "one hundred sixty-seven trillion, six hundred forty-seven billion, seven hundred three million, eight hundred one thousand, six hundred fifty-seven".