98256 has 40 divisors (see below), whose sum is σ = 267840. Its totient is φ = 30976.

The previous prime is 98251. The next prime is 98257. The reversal of 98256 is 65289.

98256 = T₄₁ + T₄₂ + ... + T₈₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98251) by changing a digit.

98256 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1060 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

98256 is a Friedman number, since it can be written as (2^(9+5)-8)*6, using all its digits and the basic arithmetic operations.

2⁹⁸²⁵⁶ 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 98256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

98256 is an abundant number, since it is smaller than the sum of its proper divisors (169584).

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

98256 is a wasteful number, since it uses less digits than its factorization.

98256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 98256 is about 313.4581311754. The cubic root of 98256 is about 46.1444733104.

The spelling of 98256 in words is "ninety-eight thousand, two hundred fifty-six".