426657 has 16 divisors (see below), whose sum is σ = 709632. Its totient is φ = 221520.

The previous prime is 426641. The next prime is 426661. The reversal of 426657 is 756624.

It is not a de Polignac number, because 426657 - 2⁴ = 426641 is a prime.

426657 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (426637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693 + ... + 1154.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2⁴²⁶⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

426657 is a deficient number, since it is larger than the sum of its proper divisors (282975).

426657 is a wasteful number, since it uses less digits than its factorization.

426657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868.

The product of its digits is 10080, while the sum is 30.

The square root of 426657 is about 653.1898652000. The cubic root of 426657 is about 75.2823137636.

The spelling of 426657 in words is "four hundred twenty-six thousand, six hundred fifty-seven".