27814001 has 2 divisors, whose sum is σ = 27814002. Its totient is φ = 27814000.

The previous prime is 27813977. The next prime is 27814009. The reversal of 27814001 is 10041872.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26061025 + 1752976 = 5105^2 + 1324^2 .

It is a cyclic number.

It is not a de Polignac number, because 27814001 - 2¹⁴ = 27797617 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (27814009) 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, 13907000 + 13907001.

It is an arithmetic number, because the mean of its divisors is an integer number (13907001).

Almost surely, 2^27814001 is an apocalyptic number.

It is an amenable number.

27814001 is a deficient number, since it is larger than the sum of its proper divisors (1).

27814001 is an equidigital number, since it uses as much as digits as its factorization.

27814001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 27814001 is about 5273.8980839603. The cubic root of 27814001 is about 302.9850188834.

Adding to 27814001 its reverse (10041872), we get a palindrome (37855873).

The spelling of 27814001 in words is "twenty-seven million, eight hundred fourteen thousand, one".