91965 has 8 divisors (see below), whose sum is σ = 147168. Its totient is φ = 49040.

The previous prime is 91961. The next prime is 91967. The reversal of 91965 is 56919.

91965 is nontrivially palindromic in base 13.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 91965 - 2² = 91961 is a prime.

It is a super-3 number, since 3×91965³ = 2333398854171375, which contains 333 as substring. Note that it is a super-d number also for d = 2.

91965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91961) 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 in 7 ways as a sum of consecutive naturals, for example, 3051 + ... + 3080.

It is an arithmetic number, because the mean of its divisors is an integer number (18396).

2⁹¹⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

91965 is a deficient number, since it is larger than the sum of its proper divisors (55203).

91965 is a wasteful number, since it uses less digits than its factorization.

91965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139.

The product of its digits is 2430, while the sum is 30.

The square root of 91965 is about 303.2573164822. The cubic root of 91965 is about 45.1378489000.

Adding to 91965 its product of digits (2430), we get a triangular number (94395 = T₄₃₄).

The spelling of 91965 in words is "ninety-one thousand, nine hundred sixty-five".