540657 has 12 divisors (see below), whose sum is σ = 841204. Its totient is φ = 332640.

The previous prime is 540629. The next prime is 540677. The reversal of 540657 is 756045.

540657 is a `hidden beast` number, since 5 + 4 + 0 + 657 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136161 + 404496 = 369^2 + 636^2 .

It is not a de Polignac number, because 540657 - 2¹⁰ = 539633 is a prime.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 540657.

It is not an unprimeable number, because it can be changed into a prime (540677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2194 + ... + 2427.

2⁵⁴⁰⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

540657 is a deficient number, since it is larger than the sum of its proper divisors (300547).

540657 is a wasteful number, since it uses less digits than its factorization.

540657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 540657 is about 735.2938188235. The cubic root of 540657 is about 81.4655405276.

The spelling of 540657 in words is "five hundred forty thousand, six hundred fifty-seven".