428657 has 2 divisors, whose sum is σ = 428658. Its totient is φ = 428656.

The previous prime is 428639. The next prime is 428663. The reversal of 428657 is 756824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 355216 + 73441 = 596^2 + 271^2 .

It is a cyclic number.

It is not a de Polignac number, because 428657 - 2⁸ = 428401 is a prime.

It is not a weakly prime, because it can be changed into another prime (428677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214328 + 214329.

It is an arithmetic number, because the mean of its divisors is an integer number (214329).

2⁴²⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

428657 is a deficient number, since it is larger than the sum of its proper divisors (1).

428657 is an equidigital number, since it uses as much as digits as its factorization.

428657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 32.

The square root of 428657 is about 654.7190237041. The cubic root of 428657 is about 75.3997617181.

The spelling of 428657 in words is "four hundred twenty-eight thousand, six hundred fifty-seven".