91129 has 2 divisors, whose sum is σ = 91130. Its totient is φ = 91128.

The previous prime is 91127. The next prime is 91139. The reversal of 91129 is 92119.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76729 + 14400 = 277^2 + 120^2 .

It is an emirp because it is prime and its reverse (92119) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 91129 - 2¹ = 91127 is a prime.

Together with 91127, it forms a pair of twin primes.

91129 is a lucky number.

It is a zygodrome in base 3.

It is not a weakly prime, because it can be changed into another prime (91121) 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, 45564 + 45565.

It is an arithmetic number, because the mean of its divisors is an integer number (45565).

2⁹¹¹²⁹ is an apocalyptic number.

It is an amenable number.

91129 is a deficient number, since it is larger than the sum of its proper divisors (1).

91129 is an equidigital number, since it uses as much as digits as its factorization.

91129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 22.

The square root of 91129 is about 301.8758022764. The cubic root of 91129 is about 45.0006584266. Note that the first 3 decimals are identical.

Subtracting 91129 from its reverse (92119), we obtain a triangular number (990 = T₄₄).

The spelling of 91129 in words is "ninety-one thousand, one hundred twenty-nine".