Search a number
-
+
57365909 is a prime number
BaseRepresentation
bin1101101011010…
…1010110010101
310222221111020022
43122311112111
5104141202114
65405314525
71264413356
oct332652625
9128844208
1057365909
112a421947
1217265a45
13bb67033
147893d2d
15508248e
hex36b5595

57365909 has 2 divisors, whose sum is σ = 57365910. Its totient is φ = 57365908.

The previous prime is 57365863. The next prime is 57365923. The reversal of 57365909 is 90956375.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57304900 + 61009 = 7570^2 + 247^2 .

It is a cyclic number.

It is not a de Polignac number, because 57365909 - 212 = 57361813 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57365909.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57365989) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28682954 + 28682955.

It is an arithmetic number, because the mean of its divisors is an integer number (28682955).

Almost surely, 257365909 is an apocalyptic number.

It is an amenable number.

57365909 is a deficient number, since it is larger than the sum of its proper divisors (1).

57365909 is an equidigital number, since it uses as much as digits as its factorization.

57365909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 255150, while the sum is 44.

The square root of 57365909 is about 7574.0285845777. The cubic root of 57365909 is about 385.6718666984.

The spelling of 57365909 in words is "fifty-seven million, three hundred sixty-five thousand, nine hundred nine".