98226 has 32 divisors (see below), whose sum is σ = 233280. Its totient is φ = 30528.

The previous prime is 98221. The next prime is 98227. The reversal of 98226 is 62289.

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 Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 98226.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 98226.

It is not an unprimeable number, because it can be changed into a prime (98221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

2⁹⁸²²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640).

98226 is an abundant number, since it is smaller than the sum of its proper divisors (135054).

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

98226 is a wasteful number, since it uses less digits than its factorization.

98226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 98226 is about 313.4102742413. The cubic root of 98226 is about 46.1397764806.

Subtracting from 98226 its reverse (62289), we obtain a cube (35937 = 33³).

It can be divided in two parts, 98 and 226, that added together give a square (324 = 18²).

The spelling of 98226 in words is "ninety-eight thousand, two hundred twenty-six".