91995 has 8 divisors (see below), whose sum is σ = 147216. Its totient is φ = 49056.

The previous prime is 91969. The next prime is 91997. The reversal of 91995 is 59919.

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

It is not a de Polignac number, because 91995 - 2⁷ = 91867 is a prime.

91995 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 91995.

It is not an unprimeable number, because it can be changed into a prime (91997) 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, 3052 + ... + 3081.

It is an arithmetic number, because the mean of its divisors is an integer number (18402).

2⁹¹⁹⁹⁵ is an apocalyptic number.

91995 is a deficient number, since it is larger than the sum of its proper divisors (55221).

91995 is a wasteful number, since it uses less digits than its factorization.

91995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141.

The product of its digits is 3645, while the sum is 33.

The square root of 91995 is about 303.3067753942. The cubic root of 91995 is about 45.1427565215.

It can be divided in two parts, 9 and 1995, that multiplied together give a triangular number (17955 = T₁₈₉).

The spelling of 91995 in words is "ninety-one thousand, nine hundred ninety-five".