Search a number
-
+
57723361 is a prime number
BaseRepresentation
bin1101110000110…
…0100111100001
311000121122120021
43130030213201
5104234121421
65421113441
71300432453
oct334144741
9130548507
1057723361
112a646463
12173b8881
13bc60947
1479482d3
155103341
hex370c9e1

57723361 has 2 divisors, whose sum is σ = 57723362. Its totient is φ = 57723360.

The previous prime is 57723359. The next prime is 57723371. The reversal of 57723361 is 16332775.

57723361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34152336 + 23571025 = 5844^2 + 4855^2 .

It is a cyclic number.

It is not a de Polignac number, because 57723361 - 21 = 57723359 is a prime.

It is a super-3 number, since 3×577233613 (a number of 24 digits) contains 333 as substring.

Together with 57723359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (57723371) 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, 28861680 + 28861681.

It is an arithmetic number, because the mean of its divisors is an integer number (28861681).

Almost surely, 257723361 is an apocalyptic number.

It is an amenable number.

57723361 is a deficient number, since it is larger than the sum of its proper divisors (1).

57723361 is an equidigital number, since it uses as much as digits as its factorization.

57723361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460, while the sum is 34.

The square root of 57723361 is about 7597.5891570945. The cubic root of 57723361 is about 386.4712603457.

The spelling of 57723361 in words is "fifty-seven million, seven hundred twenty-three thousand, three hundred sixty-one".