91296 has 36 divisors (see below), whose sum is σ = 260442. Its totient is φ = 30336.

The previous prime is 91291. The next prime is 91297. The reversal of 91296 is 69219.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 1296 = 300^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91291) by changing a digit.

91296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 130 + ... + 446.

2⁹¹²⁹⁶ is an apocalyptic number.

91296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130221).

91296 is an abundant number, since it is smaller than the sum of its proper divisors (169146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91296 is a wasteful number, since it uses less digits than its factorization.

91296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 91296 is about 302.1522794883. The cubic root of 91296 is about 45.0281305594.

It can be divided in two parts, 9 and 1296, that multiplied together give a square (11664 = 108²).

The spelling of 91296 in words is "ninety-one thousand, two hundred ninety-six".