91305 has 12 divisors (see below), whose sum is σ = 158340. Its totient is φ = 48672.

The previous prime is 91303. The next prime is 91309. The reversal of 91305 is 50319.

It can be written as a sum of positive squares in 2 ways, for example, as 69696 + 21609 = 264^2 + 147^2 .

It is not a de Polignac number, because 91305 - 2¹ = 91303 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 970 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (13195).

2⁹¹³⁰⁵ is an apocalyptic number.

It is an amenable number.

91305 is a deficient number, since it is larger than the sum of its proper divisors (67035).

91305 is a wasteful number, since it uses less digits than its factorization.

91305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 91305 is about 302.1671722739. The cubic root of 91305 is about 45.0296101418.

The spelling of 91305 in words is "ninety-one thousand, three hundred five".