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27830129 is a prime number
BaseRepresentation
bin110101000101…
…0011101110001
31221100220202112
41222022131301
524111031004
62432255105
7455360255
oct152123561
957326675
1027830129
1114789208
1293a1495
1359c5442
1439a6265
15269ae6e
hex1a8a771

27830129 has 2 divisors, whose sum is σ = 27830130. Its totient is φ = 27830128.

The previous prime is 27830113. The next prime is 27830137. The reversal of 27830129 is 92103872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27804529 + 25600 = 5273^2 + 160^2 .

It is a cyclic number.

It is not a de Polignac number, because 27830129 - 24 = 27830113 is a prime.

It is a Sophie Germain prime.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27830095 and 27830104.

It is not a weakly prime, because it can be changed into another prime (27830189) 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, 13915064 + 13915065.

It is an arithmetic number, because the mean of its divisors is an integer number (13915065).

Almost surely, 227830129 is an apocalyptic number.

It is an amenable number.

27830129 is a deficient number, since it is larger than the sum of its proper divisors (1).

27830129 is an equidigital number, since it uses as much as digits as its factorization.

27830129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 27830129 is about 5275.4269021568. The cubic root of 27830129 is about 303.0435697094.

The spelling of 27830129 in words is "twenty-seven million, eight hundred thirty thousand, one hundred twenty-nine".