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34797977 is a prime number
BaseRepresentation
bin1000010010111…
…1100110011001
32102110220211222
42010233212121
532402013402
63241501425
7601530554
oct204574631
972426758
1034797977
1118708265
12b7a1875
137294b26
14489b69b
1530c57a2
hex212f999

34797977 has 2 divisors, whose sum is σ = 34797978. Its totient is φ = 34797976.

The previous prime is 34797953. The next prime is 34797979. The reversal of 34797977 is 77979743.

It is a happy number.

34797977 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., 33884041 + 913936 = 5821^2 + 956^2 .

It is a cyclic number.

It is not a de Polignac number, because 34797977 - 216 = 34732441 is a prime.

Together with 34797979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34797979) 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, 17398988 + 17398989.

It is an arithmetic number, because the mean of its divisors is an integer number (17398989).

Almost surely, 234797977 is an apocalyptic number.

It is an amenable number.

34797977 is a deficient number, since it is larger than the sum of its proper divisors (1).

34797977 is an equidigital number, since it uses as much as digits as its factorization.

34797977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2333772, while the sum is 53.

The square root of 34797977 is about 5898.9810137006. The cubic root of 34797977 is about 326.4760537054.

The spelling of 34797977 in words is "thirty-four million, seven hundred ninety-seven thousand, nine hundred seventy-seven".