11801 has 2 divisors, whose sum is σ = 11802. Its totient is φ = 11800.

The previous prime is 11789. The next prime is 11807. The reversal of 11801 is 10811.

11801 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10201 + 1600 = 101^2 + 40^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11801 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5900 + 5901.

It is an arithmetic number, because the mean of its divisors is an integer number (5901).

2¹¹⁸⁰¹ is an apocalyptic number.

It is an amenable number.

11801 is a deficient number, since it is larger than the sum of its proper divisors (1).

11801 is an equidigital number, since it uses as much as digits as its factorization.

11801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 11801 is about 108.6324076876. The cubic root of 11801 is about 22.7670242496.

Subtracting from 11801 its reverse (10811), we obtain a triangular number (990 = T₄₄).

The spelling of 11801 in words is "eleven thousand, eight hundred one".