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27937813 is a prime number
BaseRepresentation
bin110101010010…
…0110000010101
31221120101110211
41222210300111
524123002223
62434445421
7456316231
oct152446025
957511424
1027937813
1114852102
129433871
135a32467
1439d35c1
1526bcd0d
hex1aa4c15

27937813 has 2 divisors, whose sum is σ = 27937814. Its totient is φ = 27937812.

The previous prime is 27937753. The next prime is 27937853. The reversal of 27937813 is 31873972.

27937813 = 37372 + 37382.

It is an a-pointer prime, because the next prime (27937853) can be obtained adding 27937813 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13972644 + 13965169 = 3738^2 + 3737^2 .

It is a cyclic number.

It is not a de Polignac number, because 27937813 - 213 = 27929621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27937853) 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, 13968906 + 13968907.

It is an arithmetic number, because the mean of its divisors is an integer number (13968907).

Almost surely, 227937813 is an apocalyptic number.

27937813 is the 3738-th centered square number.

It is an amenable number.

27937813 is a deficient number, since it is larger than the sum of its proper divisors (1).

27937813 is an equidigital number, since it uses as much as digits as its factorization.

27937813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 40.

The square root of 27937813 is about 5285.6232366676. The cubic root of 27937813 is about 303.4339253652.

The spelling of 27937813 in words is "twenty-seven million, nine hundred thirty-seven thousand, eight hundred thirteen".