Search a number
-
+
53768597 is a prime number
BaseRepresentation
bin1100110100011…
…1000110010101
310202011201122112
43031013012111
5102231043342
65200240405
71222011521
oct315070625
9122151575
1053768597
1128395163
1216010105
13b1a784c
1471d8d81
154ac1682
hex3347195

53768597 has 2 divisors, whose sum is σ = 53768598. Its totient is φ = 53768596.

The previous prime is 53768563. The next prime is 53768623. The reversal of 53768597 is 79586735.

It is a happy number.

53768597 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., 51179716 + 2588881 = 7154^2 + 1609^2 .

It is a cyclic number.

It is not a de Polignac number, because 53768597 - 210 = 53767573 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53758597) 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, 26884298 + 26884299.

It is an arithmetic number, because the mean of its divisors is an integer number (26884299).

Almost surely, 253768597 is an apocalyptic number.

It is an amenable number.

53768597 is a deficient number, since it is larger than the sum of its proper divisors (1).

53768597 is an equidigital number, since it uses as much as digits as its factorization.

53768597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1587600, while the sum is 50.

The square root of 53768597 is about 7332.7073444943. The cubic root of 53768597 is about 377.4356354161.

The spelling of 53768597 in words is "fifty-three million, seven hundred sixty-eight thousand, five hundred ninety-seven".