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27792101 is a prime number
BaseRepresentation
bin110101000000…
…1001011100101
31221021222121002
41222001023211
524103321401
62431403045
7455141351
oct152011345
957258532
1027792101
1114762687
129383485
1359b103c
143996461
15268ea6b
hex1a812e5

27792101 has 2 divisors, whose sum is σ = 27792102. Its totient is φ = 27792100.

The previous prime is 27792071. The next prime is 27792103. The reversal of 27792101 is 10129772.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27552001 + 240100 = 5249^2 + 490^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-27792101 is a prime.

Together with 27792103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27792103) 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, 13896050 + 13896051.

It is an arithmetic number, because the mean of its divisors is an integer number (13896051).

Almost surely, 227792101 is an apocalyptic number.

It is an amenable number.

27792101 is a deficient number, since it is larger than the sum of its proper divisors (1).

27792101 is an equidigital number, since it uses as much as digits as its factorization.

27792101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 27792101 is about 5271.8214119979. The cubic root of 27792101 is about 302.9054772384.

The spelling of 27792101 in words is "twenty-seven million, seven hundred ninety-two thousand, one hundred one".