91224 has 48 divisors (see below), whose sum is σ = 283920. Its totient is φ = 25920.

The previous prime is 91199. The next prime is 91229. The reversal of 91224 is 42219.

91224 = T₂₉ + T₃₀ + ... + T₈₂.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 91197 and 91206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91229) by changing a digit.

91224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (5915).

2⁹¹²²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141960).

91224 is an abundant number, since it is smaller than the sum of its proper divisors (192696).

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

91224 is a wasteful number, since it uses less digits than its factorization.

91224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 193 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 91224 is about 302.0331107677. The cubic root of 91224 is about 45.0162903983.

The spelling of 91224 in words is "ninety-one thousand, two hundred twenty-four".