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10034977 is a prime number
BaseRepresentation
bin100110010001…
…111100100001
3200212211101211
4212101330201
510032104402
6555030121
7151203331
oct46217441
920784354
1010034977
115734477
12343b341
132104774
1414930c1
15d334d7
hex991f21

10034977 has 2 divisors, whose sum is σ = 10034978. Its totient is φ = 10034976.

The previous prime is 10034971. The next prime is 10034987. The reversal of 10034977 is 77943001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9979281 + 55696 = 3159^2 + 236^2 .

It is an emirp because it is prime and its reverse (77943001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10034977 - 211 = 10032929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10034971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017488 + 5017489.

It is an arithmetic number, because the mean of its divisors is an integer number (5017489).

Almost surely, 210034977 is an apocalyptic number.

It is an amenable number.

10034977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034977 is an equidigital number, since it uses as much as digits as its factorization.

10034977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 10034977 is about 3167.8031820175. The cubic root of 10034977 is about 215.6943622542.

Adding to 10034977 its reverse (77943001), we get a palindrome (87977978).

It can be divided in two parts, 10034 and 977, that added together give a palindrome (11011).

The spelling of 10034977 in words is "ten million, thirty-four thousand, nine hundred seventy-seven".