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7842097 is a prime number
BaseRepresentation
bin11101111010100100110001
3112202102100001
4131322210301
54001421342
6440030001
7123441154
oct35724461
915672301
107842097
11447697a
122762301
1318175c3
141081c9b
15a4d8b7
hex77a931

7842097 has 2 divisors, whose sum is σ = 7842098. Its totient is φ = 7842096.

The previous prime is 7842073. The next prime is 7842119. The reversal of 7842097 is 7902487.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5948721 + 1893376 = 2439^2 + 1376^2 .

It is a cyclic number.

It is not a de Polignac number, because 7842097 - 27 = 7841969 is a prime.

It is a super-2 number, since 2×78420972 = 122996970714818, which contains 22 as substring.

7842097 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (7842047) 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, 3921048 + 3921049.

It is an arithmetic number, because the mean of its divisors is an integer number (3921049).

Almost surely, 27842097 is an apocalyptic number.

It is an amenable number.

7842097 is a deficient number, since it is larger than the sum of its proper divisors (1).

7842097 is an equidigital number, since it uses as much as digits as its factorization.

7842097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 7842097 is about 2800.3744392492. The cubic root of 7842097 is about 198.6753880506.

The spelling of 7842097 in words is "seven million, eight hundred forty-two thousand, ninety-seven".