91801 has 2 divisors, whose sum is σ = 91802. Its totient is φ = 91800.

The previous prime is 91781. The next prime is 91807. The reversal of 91801 is 10819.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 15625 = 276^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 91801 - 2⁷ = 91673 is a prime.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (91807) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45900 + 45901.

It is an arithmetic number, because the mean of its divisors is an integer number (45901).

2⁹¹⁸⁰¹ is an apocalyptic number.

91801 is the 136-th centered decagonal number.

It is an amenable number.

91801 is a deficient number, since it is larger than the sum of its proper divisors (1).

91801 is an equidigital number, since it uses as much as digits as its factorization.

91801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 91801 is about 302.9867983923. The cubic root of 91801 is about 45.1110016867. Note that the first 3 decimals are identical.

The spelling of 91801 in words is "ninety-one thousand, eight hundred one".