2006657 has 2 divisors, whose sum is σ = 2006658. Its totient is φ = 2006656.

The previous prime is 2006651. The next prime is 2006659. The reversal of 2006657 is 7566002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1874161 + 132496 = 1369^2 + 364^2 .

It is a cyclic number.

It is not a de Polignac number, because 2006657 - 2¹⁴ = 1990273 is a prime.

Together with 2006659, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (2006651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1003328 + 1003329.

It is an arithmetic number, because the mean of its divisors is an integer number (1003329).

2^2006657 is an apocalyptic number.

It is an amenable number.

2006657 is a deficient number, since it is larger than the sum of its proper divisors (1).

2006657 is an equidigital number, since it uses as much as digits as its factorization.

2006657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 2006657 is about 1416.5652120534. The cubic root of 2006657 is about 126.1317384211.

The spelling of 2006657 in words is "two million, six thousand, six hundred fifty-seven".