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540557 is a prime number
BaseRepresentation
bin10000011111110001101
31000110111122
42003332031
5114244212
615330325
74410653
oct2037615
91013448
10540557
1133a146
122209a5
1315c074
14100dd3
15aa272
hex83f8d

540557 has 2 divisors, whose sum is σ = 540558. Its totient is φ = 540556.

The previous prime is 540541. The next prime is 540559. The reversal of 540557 is 755045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 434281 + 106276 = 659^2 + 326^2 .

It is a cyclic number.

It is not a de Polignac number, because 540557 - 24 = 540541 is a prime.

Together with 540559, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 540557.

It is not a weakly prime, because it can be changed into another prime (540559) 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 as a sum of consecutive naturals, namely, 270278 + 270279.

It is an arithmetic number, because the mean of its divisors is an integer number (270279).

2540557 is an apocalyptic number.

It is an amenable number.

540557 is a deficient number, since it is larger than the sum of its proper divisors (1).

540557 is an equidigital number, since it uses as much as digits as its factorization.

540557 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 540557 is about 735.2258156512. The cubic root of 540557 is about 81.4605175917.

The spelling of 540557 in words is "five hundred forty thousand, five hundred fifty-seven".