Search a number
-
+
842097593 is a prime number
BaseRepresentation
bin110010001100010…
…110001110111001
32011200112222201202
4302030112032321
53211034110333
6215321023545
726603466011
oct6214261671
92150488652
10842097593
113a2384427
121b6024bb5
131056023cc
147dba6c41
154dde05e8
hex323163b9

842097593 has 2 divisors, whose sum is σ = 842097594. Its totient is φ = 842097592.

The previous prime is 842097539. The next prime is 842097611. The reversal of 842097593 is 395790248.

It is a happy number.

842097593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (842097539) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 547185664 + 294911929 = 23392^2 + 17173^2 .

It is a cyclic number.

It is not a de Polignac number, because 842097593 - 216 = 842032057 is a prime.

It is a super-2 number, since 2×8420975932 = 1418256712272787298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (842097523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 421048796 + 421048797.

It is an arithmetic number, because the mean of its divisors is an integer number (421048797).

Almost surely, 2842097593 is an apocalyptic number.

It is an amenable number.

842097593 is a deficient number, since it is larger than the sum of its proper divisors (1).

842097593 is an equidigital number, since it uses as much as digits as its factorization.

842097593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 842097593 is about 29018.9178468116. The cubic root of 842097593 is about 944.3235243354.

The spelling of 842097593 in words is "eight hundred forty-two million, ninety-seven thousand, five hundred ninety-three".