542657 has 8 divisors (see below), whose sum is σ = 581256. Its totient is φ = 504832.

The previous prime is 542603. The next prime is 542683. The reversal of 542657 is 756245.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 450241 = 304^2 + 671^2 .

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

It is not a de Polignac number, because 542657 - 2⁸ = 542401 is a prime.

It is a d-powerful number, because it can be written as 5 + 4⁴ + 6⁴ + 2¹⁹ + 5 + 7⁵ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2213 + ... + 2445.

It is an arithmetic number, because the mean of its divisors is an integer number (72657).

2⁵⁴²⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

542657 is a deficient number, since it is larger than the sum of its proper divisors (38599).

542657 is a wasteful number, since it uses less digits than its factorization.

542657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387.

The product of its digits is 8400, while the sum is 29.

The square root of 542657 is about 736.6525639676. The cubic root of 542657 is about 81.5658694409.

The spelling of 542657 in words is "five hundred forty-two thousand, six hundred fifty-seven".