27901 has 2 divisors, whose sum is σ = 27902. Its totient is φ = 27900.

The previous prime is 27893. The next prime is 27917. The reversal of 27901 is 10972.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27225 + 676 = 165^2 + 26^2 .

It is a cyclic number.

It is not a de Polignac number, because 27901 - 2³ = 27893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27941) 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, 13950 + 13951.

It is an arithmetic number, because the mean of its divisors is an integer number (13951).

2²⁷⁹⁰¹ is an apocalyptic number.

It is an amenable number.

27901 is a deficient number, since it is larger than the sum of its proper divisors (1).

27901 is an equidigital number, since it uses as much as digits as its factorization.

27901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 27901 is about 167.0359242798. The cubic root of 27901 is about 30.3300590865.

The spelling of 27901 in words is "twenty-seven thousand, nine hundred one".