10067657 has 2 divisors, whose sum is σ = 10067658. Its totient is φ = 10067656.

The previous prime is 10067647. The next prime is 10067699. The reversal of 10067657 is 75676001.

10067657 is digitally balanced in base 3, 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., 5470921 + 4596736 = 2339^2 + 2144^2 .

It is a cyclic number.

It is not a de Polignac number, because 10067657 - 2⁴ = 10067641 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10067627) 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, 5033828 + 5033829.

It is an arithmetic number, because the mean of its divisors is an integer number (5033829).

Almost surely, 2^10067657 is an apocalyptic number.

It is an amenable number.

10067657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10067657 is an equidigital number, since it uses as much as digits as its factorization.

10067657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 10067657 is about 3172.9571380654. The cubic root of 10067657 is about 215.9282526340.

The spelling of 10067657 in words is "ten million, sixty-seven thousand, six hundred fifty-seven".