92224 has 28 divisors (see below), whose sum is σ = 201168. Its totient is φ = 41600.

The previous prime is 92221. The next prime is 92227. The reversal of 92224 is 42229.

92224 = 36² + 37² + ... + 68².

It is a happy number.

92224 is nontrivially palindromic in base 12.

92224 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (92221) and next prime (92227).

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

92224 is an undulating number in base 12.

Its product of digits (288) is a multiple of the sum of its prime divisors (144).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (92221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 639 + ... + 769.

2⁹²²²⁴ 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 92224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100584).

92224 is an abundant number, since it is smaller than the sum of its proper divisors (108944).

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

92224 is a wasteful number, since it uses less digits than its factorization.

92224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 92224 is about 303.6840463376. The cubic root of 92224 is about 45.1801829227.

It can be divided in two parts, 922 and 24, that added together give a triangular number (946 = T₄₃).

The spelling of 92224 in words is "ninety-two thousand, two hundred twenty-four".