10000657 has 2 divisors, whose sum is σ = 10000658. Its totient is φ = 10000656.

The previous prime is 10000651. The next prime is 10000667. The reversal of 10000657 is 75600001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9096256 + 904401 = 3016^2 + 951^2 .

It is an emirp because it is prime and its reverse (75600001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10000657 is a prime.

It is not a weakly prime, because it can be changed into another prime (10000651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000328 + 5000329.

It is an arithmetic number, because the mean of its divisors is an integer number (5000329).

Almost surely, 2^10000657 is an apocalyptic number.

It is an amenable number.

10000657 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000657 is an equidigital number, since it uses as much as digits as its factorization.

10000657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 10000657 is about 3162.3815392833. The cubic root of 10000657 is about 215.4481871118.

Adding to 10000657 its reverse (75600001), we get a palindrome (85600658).

The spelling of 10000657 in words is "ten million, six hundred fifty-seven", and thus it is an aban number.