91165 has 4 divisors (see below), whose sum is σ = 109404. Its totient is φ = 72928.

The previous prime is 91163. The next prime is 91183. The reversal of 91165 is 56119.

91165 = T₁₃₀ + T₁₃₁ + ... + T₁₃₉.

91165 = 213² + 214².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 56119 = 7 ⋅8017.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 45796 = 213^2 + 214^2 .

It is a cyclic number.

It is not a de Polignac number, because 91165 - 2¹ = 91163 is a prime.

It is a super-2 number, since 2×91165² = 16622114450, which contains 22 as substring.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9112 + ... + 9121.

It is an arithmetic number, because the mean of its divisors is an integer number (27351).

2⁹¹¹⁶⁵ is an apocalyptic number.

91165 is the 214-th centered square number.

It is an amenable number.

91165 is a deficient number, since it is larger than the sum of its proper divisors (18239).

91165 is a wasteful number, since it uses less digits than its factorization.

91165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18238.

The product of its digits is 270, while the sum is 22.

The square root of 91165 is about 301.9354235594. The cubic root of 91165 is about 45.0065833990.

It can be divided in two parts, 91 and 165, that added together give a 8-th power (256 = 2⁸).

The spelling of 91165 in words is "ninety-one thousand, one hundred sixty-five".