800000657 has 2 divisors, whose sum is σ = 800000658. Its totient is φ = 800000656.

The previous prime is 800000629. The next prime is 800000659. The reversal of 800000657 is 756000008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 591024721 + 208975936 = 24311^2 + 14456^2 .

It is a cyclic number.

It is not a de Polignac number, because 800000657 - 2²² = 795806353 is a prime.

Together with 800000659, it forms a pair of twin primes.

It is a Chen prime.

800000657 is a modest number, since divided by 657 gives 8 as remainder.

It is not a weakly prime, because it can be changed into another prime (800000659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400000328 + 400000329.

It is an arithmetic number, because the mean of its divisors is an integer number (400000329).

Almost surely, 2^800000657 is an apocalyptic number.

It is an amenable number.

800000657 is a deficient number, since it is larger than the sum of its proper divisors (1).

800000657 is an equidigital number, since it uses as much as digits as its factorization.

800000657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 800000657 is about 28284.2828616884. The cubic root of 800000657 is about 928.3180208495.

The spelling of 800000657 in words is "eight hundred million, six hundred fifty-seven", and thus it is an aban number.