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57585797 is a prime number
BaseRepresentation
bin1101101110101…
…1000010000101
311000100122212022
43123223002011
5104220221142
65414132525
71266320423
oct333530205
9130318768
1057585797
112a562075
1217351145
13bc13149
147910113
1550c76d2
hex36eb085

57585797 has 2 divisors, whose sum is σ = 57585798. Its totient is φ = 57585796.

The previous prime is 57585709. The next prime is 57585799. The reversal of 57585797 is 79758575.

It is a happy number.

57585797 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32194276 + 25391521 = 5674^2 + 5039^2 .

It is a cyclic number.

It is not a de Polignac number, because 57585797 - 212 = 57581701 is a prime.

It is a super-2 number, since 2×575857972 = 6632248032250418, which contains 22 as substring.

Together with 57585799, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57585799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28792898 + 28792899.

It is an arithmetic number, because the mean of its divisors is an integer number (28792899).

Almost surely, 257585797 is an apocalyptic number.

It is an amenable number.

57585797 is a deficient number, since it is larger than the sum of its proper divisors (1).

57585797 is an equidigital number, since it uses as much as digits as its factorization.

57585797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3087000, while the sum is 53.

The square root of 57585797 is about 7588.5306219320. The cubic root of 57585797 is about 386.1640085344.

The spelling of 57585797 in words is "fifty-seven million, five hundred eighty-five thousand, seven hundred ninety-seven".