538657 has 6 divisors (see below), whose sum is σ = 626658. Its totient is φ = 461664.

The previous prime is 538651. The next prime is 538697. The reversal of 538657 is 756835.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 379456 + 159201 = 616^2 + 399^2 .

It is not a de Polignac number, because 538657 - 2³ = 538649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (538651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5448 + ... + 5545.

It is an arithmetic number, because the mean of its divisors is an integer number (104443).

2⁵³⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

538657 is a deficient number, since it is larger than the sum of its proper divisors (88001).

538657 is a wasteful number, since it uses less digits than its factorization.

538657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11007 (or 11000 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 538657 is about 733.9325582095. The cubic root of 538657 is about 81.3649638835.

The spelling of 538657 in words is "five hundred thirty-eight thousand, six hundred fifty-seven".