638657 has 8 divisors (see below), whose sum is σ = 673512. Its totient is φ = 604800.

The previous prime is 638633. The next prime is 638663. The reversal of 638657 is 756836.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 256 + 638401 = 16^2 + 799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-638657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (638857) 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 in 7 ways as a sum of consecutive naturals, for example, 1307 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (84189).

2⁶³⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

638657 is a deficient number, since it is larger than the sum of its proper divisors (34855).

638657 is a wasteful number, since it uses less digits than its factorization.

638657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its digits is 30240, while the sum is 35.

The square root of 638657 is about 799.1601841934. The cubic root of 638657 is about 86.1170661007.

The spelling of 638657 in words is "six hundred thirty-eight thousand, six hundred fifty-seven".